A switching board receives a random number of phone calls. The expected number of calls is...

A switching board receives a random number of phone calls. The expected number of calls is 7.4 per minute. Assume that distribution of the number of calls is Poisson. The average number of calls per minute is recorded by counting the total number of calls received in one hour, divided by 60, the number of minutes in an hour. In the next 4 questions you are asked to apply the Normal approximation to the distribution of the sample average using this information. The answer may be rounded up to 3 decimal places of the actual value: Question 122 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The expectation of the average is Answer: Question 123 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The standard deviation of the average is Answer: Question 124 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The probability that the average is less than 7 Answer: Question 125 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The probability that number of calls in a random minute is less than 7 is Answer . (Note, the question is with resect to a random minute, and not the average.) Information Not flaggedFlag question Information text It is claimed that the expected length of time some computer part may work before requiring a reboot is 3.5 months. In order to examine this claim 70 identical parts are set to work. Assume that the distribution of the length of time the part can work (in months) is Exponential. In the next 4 questions you are asked to apply the Normal approximation to the distribution of the average of the 70 parts that are examined. The answer may be rounded up to 3 decimal places of the actual value: Question 126 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The expectation of the average is Answer: Question 127 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The standard deviation of the average is Answer: Question 128 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The central region that contains 90% of the distribution of the average is of the form E(X) ± c, where E(X) is the expectation of the sample average. The value of c is Answer: Question 129 Not yet answered Marked out of 1.00 Not flaggedFlag question Question text The probability that the average is more than 4 months is Answer:

Expert Solution

orchestra answered 2 years ago

Write an application, Phone Numbers, that creates and prints a random phone number of the form...

Write an application, Phone Numbers, that creates and prints a random phone number of the form XXX-XXX-XXXX. Include the dashes in the output. The phone number has some constraints. Do not let the first three digits contain an 3 or 7 (but do not be more restrictive than that) and ensure that the second set of three digits is not greater than 825. Note that any of the digits can be zero and zeroes should be shown.

A television cable company receives numerous phone calls throughout the day from customers reporting service troubles...

A television cable company receives numerous phone calls throughout the day from customers reporting service troubles and from would-be subscribers to the cable network. Most of these callers are put “on hold” until a company operator is free to help them. The company has determined that the length of time a caller is on hold is normally distributed with a mean of 3.1 minutes and a standard deviation 0.9 minutes. Company experts have decided that if as many as 5%...

The Ganubrabdrab Company has determined that the number of telephone calls it receives each hour during...

The Ganubrabdrab Company has determined that the number of telephone calls it receives each hour during holidays follows a normal distribution with a mean of 80,000 and a standard deviation of 35,000. Suppose 60 holiday hours are chosen at random. What is the sampling distribution for the 60 hours? What is the probability that for these 60 hours the number of incoming calls will be greater than 91,970? What is the probability that for these 60 hours the number of...

A call centre would like to know the mean number of calls it receives during peak...

A call centre would like to know the mean number of calls it receives during peak hours. The manager randomly selects 32 different one-hour periods and determines the number of calls for each. For this sample, x-bar equals 95 and s2 = 230. What is the mean number of calls per one-hour period during peak hours with a 99% confidence interval? A. 95 ± 2.68 B. 95 ± 104.73 C. 95 ± 6.90 D. 95 ± 5.25

3. A parenting magazine reports that the mean number of phone calls that teenage girls make...

3. A parenting magazine reports that the mean number of phone calls that teenage girls make per night is at least four (4). For a science fair project, a student sets out to prove the magazine wrong. The student claims that the average number of phone calls that teenage girls in their area make is less than four. The student collects information from a simple random sample of 25 teenage girls from their high school, and calculates a mean of...

A telephone company claims the average number of phone calls made every day in a household...

A telephone company claims the average number of phone calls made every day in a household is more than three. A random sample of 169 days is survey in a mean of two and a standard deviation of .2 are found, test the claim at a 5% level of significance. Assume the district distribution is normal.

1.)In a mid-size company, the distribution of the number of phone calls answered each day by...

1.)In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 51 and a standard deviation of 4. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 43 and 59? 2.)A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of...

Let X be the random variable representing the number of calls received in an hour by...

Let X be the random variable representing the number of calls received in an hour by a 911 emergency service. A probability distribution of X is given below. Value of X 0 1 2 3 4 Probability P(x) 0.32 ____ ____ 0.16 0.08 (a) Suppose the probability that X = 1 and the probability that X = 2 are the same. What are these probabilities? Incorrect: Your answer is incorrect. (b) What is the probability that at least one call...

java program Create a program that creates and prints a random phone number using the following...

java program Create a program that creates and prints a random phone number using the following format: XXX-XXX-XXXX. Make sure your output include the dashes. Do not let the first three digits contain an 8 or 9 (HINT: do not be more restrictive than that) and make sure that the second set of three digits is not greater than 773. Helpful Hint: Think though the easiest way to construct the phone number. Each digit does do not have to be determined...

Sports Score Hot Line Calls (Optional) Sports Scores Hot Line receives, on the average, 11 calls...

Sports Score Hot Line Calls (Optional) Sports Scores Hot Line receives, on the average, 11 calls per hour requesting the latest sports scores. The distribution is Poisson in nature. For any randomly selected hour, ﬁnd the probability that the company will receive a. At least 7 calls b. 4 or more calls c. At most 9 calls

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