Suppose the average commute time between SFSU to Redwood city is Normally distributed with mean 22...

Suppose the average commute time between SFSU to Redwood city is Normally distributed with mean 22 minutes and standard deviation of 4 minutes. 5 independent trips between SFSU and Redwood City are sampled. What is the probability that exactly 2 of these trips take less than 20 minutes? (Hint: you will need both the binomial and normal distribution)

Select one:

a. 0.3085

b. 1.0000

c. 0.8255

d. 0.3147

e. 0.6170

Solutions

Expert Solution

Answer---->>

d). 0.3147 is correct option.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Suppose that the average time that students spend online daily is normally distributed with a mean...

Suppose that the average time that students spend online daily is normally distributed with a mean of 244 minutes and st dev of 49 minutes. Answer the following questions. What is the probability that a randomly picked student spends more than 265 minutes online daily? Is this unusual, why or why not? If a group of 21 students is randomly selected, what is the probability that their average time spent online is more than 265 minutes? Is this unusual or not and why?

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...

A professor's commute is normally distributed with a mean of 40 minutes and a standard deviation...

A professor's commute is normally distributed with a mean of 40 minutes and a standard deviation of 10 minutes. (a) What is the probability that the professor gets to work in 30 min or less? (Round your answer to three decimal places.) . (b) If the professor has a 9 A.M. class and leaves home at 8 A.M., how often is the professor late for class? (Round your answer to one decimal place.) - % of the time

Daily commute time is normally distributed with mean=40 minutes and standard deviation=8 minutes. For 16 days...

Daily commute time is normally distributed with mean=40 minutes and standard deviation=8 minutes. For 16 days of travel, what is the probability of an average commute time greater than 35? B. A cup holds 18 ozs. The beer vending machine has an adjustable mean and a standard deviation equal to .2 oz. What should the mean be set to so that the cup overflows only 2.5% of the time? C. The probability that Rutgers soccer team wins a game is...

In a random sample of 22 people, the mean commute time to work was 34.5 minutes...

In a random sample of 22 people, the mean commute time to work was 34.5 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 90% confidence interval for the population mean mu. What is the margin of error of mu? Interpret the results

In a random sample of 22 people, the mean commute time to work was 34.5 minutes...

The prices of condos in a city are normally distributed with a mean of $100,000 and...

The prices of condos in a city are normally distributed with a mean of $100,000 and a standard deviation of $32,000. Answer the following questions rounding your solutions to 4 decimal places. 1. The city government exempts the cheapest 6% of the condos from city taxes. What is the maximum price of the condos that will be exempt from city taxes? 2. If 2% of the most expensive condos are subject to a luxury tax, what is the minimum price...

Suppose that the average number of Facebook friends users have is normally distributed with a mean...

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 144 and a standard deviation of about 52. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. For the group of 14, find the probability that the average number of friends is less than 145. Find the first quartile for the average number of Facebook friends. For part b), is the assumption that...

Suppose that the average number of Facebook friends users have is normally distributed with a mean...

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 119 and a standard deviation of about 41. Assume forty-five individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 45, find the probability that the average number of friends is more than 114. Find the third quartile for the average number of...

Suppose that the average number of Facebook friends users have is normally distributed with a mean...

Suppose that the average number of Facebook friends users have is normally distributed with a mean of 117 and a standard deviation of about 58. Assume forty-two individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For the group of 42, find the probability that the average number of friends is less than 104. Find the first quartile for the average number of...

Subjects