Question

Walk-ins to an optometry store in a shopping mall occur at a mean rate of 1.5...

Walk-ins to an optometry store in a shopping mall occur at a mean rate of 1.5 customers per hour. Let the random variable X be the number of walk-ins to the optometry store per hour. What is the appropriate probability distribution to represent X? Select one: a. Poisson distribution b. Geometric distribution c. Binomial distribution d. Exponential distribution

part (b)

What is the probability of two walk-ins during an hour?

Select one:

a. 0.691

b. 0.251

c. 0.264

d. 0.736

part (c)

Calculate P(X > 1)

Select one:

a. 0.817

b. 0.442

c. 0.665

d. 0.690

e. 0.507

f. 0.777

part (d)

Interpret the meaning of the probability in part (c) in words

Select one:

a. The probability of at least one walk-in during an hour

b. The probability of more than one walk-in during an hour

c. The probability of at most one walk-in during an hour

d. The probability of one walk-in during an hour

Homework Answers

Answer #1

The appropriate probability distribution to represent X is Option (A) Poisson distribution

a) The probability of two walk-ins during an hour is

Correct answer: option (b) 0.251

b)

Correct answer: option (b) 0.442

c) Correct answer: Option (C) The probability of more than one walk-in during an hour

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Q41 Johnny X owns a gift shop in New York. Last year she evaluated that the...
Q41 Johnny X owns a gift shop in New York. Last year she evaluated that the probability of a customer who says they are just browsing, buys something, is 30%. Suppose that on a particular day this year 15 customers browse in the store each hour. [8 Marks] Assuming a binomial distribution, respond to the following questions: (a) Develop the individual probability distribution histogram for all the possible outcomes. (b) What is the probability that at least one customer, who...
You are interested in finding out the mean number of customers entering a 24-hour convenience store...
You are interested in finding out the mean number of customers entering a 24-hour convenience store every 10-minutes. You suspect this can be modeled by the Poisson distribution with a a mean of λ=4.84 customers. You are to randomly pick n=74 10-minute time frames, and observe the number of customers who enter the convenience store in each. After which, you are to average the 74 counts you have. That is, compute the value of X (a) What can you expect...
The manager of a computer retails store is concerned that his suppliers have been giving him...
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 3.5 years and a standard deviation of 0.4 years. He then randomly selects records on 9 laptops sold in the past. Round the answers of following questions to 4 decimal places. a. What is the distribution of X?...
(1) To estimate the mean height μμ of male students on your campus, you will measure...
(1) To estimate the mean height μμ of male students on your campus, you will measure an SRS of students. Heights of people of the same sex and similar ages are close to Normal. You know from government data that the standard deviation of the heights of young men is about 2.8 inches. Suppose that (unknown to you) the mean height of all male students is 70 inches. (a) If you choose one student at random, what is the probability...