4. A talk radio station has four telephone lines. If the host is unable to talk (i.e., during acommercial) or is talking to a person, the other callers are placed on hold. When all linesare in use, others who are trying to call in get a busy signal. The probability that 0, 1, 2, 3,or 4 people will get through is shown in the distribution. Find the mean, variance, andstandard deviation for the distribution.1234.P(X=x)0.180.230.340.210.04a. µ = 1.59; o? = 1.26; o = 1.12b. None of the choicesc.µ= 1.70; o = 1.33; o = 1.15d. μ- 1.70; σ'-1.23; σ 1.11e. μ= 1.59; σ'1.36; σ 1.17%3!%3!

Answered: Image /qna-images/answer/29f28857-b008-41fa-b747-169ef7fe2739.jpg

Answered: 4. A talk radio station has four…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Normal distribution. Assume the height of female 20-29 year-old is normally distributed with a mean of 65 inches and a standard deviation of 3 inches. a. What is the probability that a randomly selected girl 20-29 year-old will be 67 inches or lower?b. What is the probability that a randomly selected girl 20-29 year-old will be 67 inches or higher?c. What is the probability that a randomly selected girl 20-29 year-old will be between 63 and 70 inches?Suppose a random sample of four 20-29 year-old females is selected. d. What is the probability that all four will be 67 inches or lower?e. What is the distribution of the sample mean height of 4 females? Provide all info. x bar ~ ____________________(___________________,____________________ ) The distribution is [Circle One:] Exact Approximate Why? _________________________________________________________________f. What is the probability that the mean height of four will be 66 inches or higher?
Suppose that the amount of a weekly grocery bill of all households in a metropolitanarea is distributed with a mean of $140 and a standard deviation of $35. Let X¯ bethe average amount of grocery bill of a random sample of 49 households selectedfrom this metropolitan area. Find the probability that X¯ will be (a) more than $145,(b) less than $140, (c) between $132 and $148. NOTE: Please explain each part, so the problem can be used as a Study Guide
If the mean and variance of a binomial distribution are 4 and 2 respectively. Find the probability of exactly 2successes.
Suppose it is known that 37% of Camp Crystal Lake campers return the next summer. A random sample of 15 campers was selected. 3. (Describe the distribution of the number of campers that return the next summer.
An online retailer operates two independent warehouses (A & B) where it keeps its inventory. Each warehouse has a .05 probability of experiencing a fire. If a fire is experienced in a given warehouse, $1,000 in inventory will be lost. What is the pooled standard deviation of the warehouses per warehouse (round to the nearest whole number)?
2.Consider a box containing 15 identical pens. It is known that 5 of the 15 pens are defective. Two pens are selected at random, without replacement. a.Construct a probability distribution for the number of defective pens selected. b.Calculate the mean and standard deviation for the distribution.
The average salary for a civil engineering major is $75,000 with a standard deviation of $10,000. A university wants to determine how well their students in their civil engineering program get paid after graduating. They ask one class of 80 students in a course to give their salaries after graduating. What is the probability the average salary of the 80 students is between $73,000 and $77,000? 0.16 O 0.93 O 0.68 O 0.78
9. Suppose three fair coins are flipped. Let a random variable count the number of tails. a.) Find the probability distribution. b.) Find the mean of the probability distribution. c.) Find the variance and the standard deviation of the probability distribution.
3. 3c. A. B. Women have head circumferences that are normally distributed with a mean of 23.55 inches and a standard deviation of 0.93 inches. If the HATS BY CHARLIE company produced hats so that they fit head circumferences between 22.2 inches and 24.2 inches, then what is the probability that a woman can fit into these hats? A. If the HATS BY CHARLIE company produced hats so that they fit head circumferences between 22.2 inches and 24.2 inches, then what is the probability that a randomly selected group of 40 woman can fit into these hats? B. Write a sentence or two that explains your answer to 3B and why you think that answer is correct in connection to your answer in 3A.
A professor of statistics noticed that the marks in his course are normally distributed. He also noticed that his morning classes average 73% with a standard deviation of 12% on their final exams. His afternoon classes average 79% with a standard deviation of 11%. A. What is the probability that a randomly selected student in the morning class has a higher final exam mark than a randomly selected student from an afternoon class? Probability = B. What is the probability that the mean mark of four randomly selected students from a morning class is greater than the average mark of four randomly selected students from an afternoon class? Probability =
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
An automatic machine in a manufacturing process is operating properly if the lengths of an important subcomponent are normally distributed with a mean of 116 cm and a standard deviation of 4.8 cm. A. Find the probability that one selected subcomponent is longer than 118 cm. B. Find the probability that if 4 subcomponents are randomly selected, their mean length exceeds 118 cm. C. Find the probability that if 4 are randomly selected, all 4 have lengths that exceed 118 cm.

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