Assume the hold time of callers to a cable company is normally distributed with a mean...

Assume the hold time of callers to a cable company is normally distributed with a mean of 3.5 minutes and a standard deviation of 0.4 minutes. Determine the percent of callers who are on hold for more than 3.5 minutes. (Round to two decimal places as needed.)

Solutions

Expert Solution

Solution :

Given that,

mean = = 3.5

standard deviation = = 0.4

P(x > 3.5) = 1 - P(x< 3.5)

= 1 - P[(x -) / < (3.5- 3.5) /0.4 ]

= 1 - P(z < 0)

Using z table

= 1 - 0.50

=0.50

=50.00%

orchestra answered 2 years ago

Next > < Previous

Related Solutions

Assume the hold time of callers to a cable company is normally distributed with a mean...

Assume the hold time of callers to a cable company is normally distributed with a mean of 4.9 minutes and a standard deviation of .9 minute. determine the percent of callers who are on hold for at least 5.4 minutes

1. a. "On hold" times for callers to a local cable television company are known to...

1. a. "On hold" times for callers to a local cable television company are known to be normally distributed with a standard deviation of 1.4 minutes. Find the average caller "on hold" time if the company maintains that no more than 6% of callers wait more than 5.6 minutes. (Give your answer correct to two decimal places.) b. Of all mortgage foreclosures in the United States, 45% are caused by disability. People who are injured or ill cannot work--they then...

Assume that every time Jordan plays golf her score is normally distributed with mean 100 and...

Assume that every time Jordan plays golf her score is normally distributed with mean 100 and standard deviation 6. Jordan is playing golf with her friend Joey who gets a score of 112. What is the probability that Jordan gets a score less than or equal to Joey's? Jordan is playing golf with another friend, Lillian, who gets a score of 106. What is the probability that Jordan gets a score greater than or equal to Lillian's? For what number...

The time for a professor to grade an exam is normally distributed with a mean of...

The time for a professor to grade an exam is normally distributed with a mean of 12.6 minutes and a standard deviation of 2.5 minutes. 1. Compute Z-score if it took the professor 15 minutes to grade an exam 2. What is the probability that a randomly selected exam will require between 12 and 15 minutes to grade? 3. What is the probability that a randomly selected exam will require less than 15 minutes to grade?

Assume that the amount of cornflakes in a box is normally distributed with a mean of...

Assume that the amount of cornflakes in a box is normally distributed with a mean of 16 oz. and a standard deviation of 0.1 oz. a) Determine the percent of boxes that will contain between 15.83 oz. and 16.32 oz. of cornflakes? b) Determine the percent of boxes that will contain more than 16.16 oz. of cornflakes. c) If the manufacturer produces 300,000 boxes, how many of them will contain less than 15.83 oz. of cornflakes? d) If the manufacturer...

1. The incubation time for a breed of chicks is normally distributed with a mean of...

1. The incubation time for a breed of chicks is normally distributed with a mean of 28 days and standard deviation of approximately 1 day. Look at the figure below and answer the following questions. If 1000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single day or a succession of days as a continuous interval of time. Assume all...

1. The incubation time for a breed of chicks is normally distributed with a mean of...

Suppose that the waiting time for a bus is normally distributed with a mean of 5...

Suppose that the waiting time for a bus is normally distributed with a mean of 5 minutes and a standard deviation of 2.5 minutes. (a) Find the probability that the waiting time for the bus is between 3 minutes and 7 minutes. (b) If you randomly choose 4 passengers, find the sampling distribution of their average waiting time. Please indicate shape, mean and standard deviation. (c) For the randomly selected 4 passengers, find the probability that their average waiting time...

The time required to assemble an electronic component is normally distributed with a mean and a...

The time required to assemble an electronic component is normally distributed with a mean and a standard deviation of 17 minutes and 9 minutes, respectively. a. Find the probability that a randomly picked assembly takes between 15 and 22 minutes. b. It is unusual for the assembly time to be above 29 minutes or below 7 minutes. What proportion of assembly times fall in these unusual categories?

The incubation time for a breed of chicks is normally distributed with a mean of 20...

The incubation time for a breed of chicks is normally distributed with a mean of 20 days and standard deviation of approximately 3 days. Look at the figure below and answer the following questions. If 1000 eggs are being incubated, how many chicks do we expect will hatch in the following time periods? (Note: In this problem, let us agree to think of a single day or a succession of days as a continuous interval of time. Assume all eggs...

Subjects