The following histograms each represent binomial distributions. Each distribution has the same number of trials n but different probabilities of success p.**Histograms:**1. **Histogram (a):** - X-axis: 0, 1, 2, 3, 4 - Y-axis: P(x) - Bars represent different probabilities for each outcome.2. **Histogram (b):** - X-axis: 0, 1, 2, 3, 4 - Y-axis: P(x) - Bars depict the probability distribution for each possible result.3. **Histogram (c):** - X-axis: 0, 1, 2, 3, 4 - Y-axis: P(x) - Displays probabilities for discrete outcomes.**Matching task:**Match \( p = 0.4, p = 0.5, p = 0.7 \) with the correct graph.Options:- A. \((a) p = 0.5, (b) p = 0.4, (c) p = 0.7\)- B. \((a) p = 0.7, (b) p = 0.5, (c) p = 0.4\)- C. \((a) p = 0.4, (b) p = 0.5, (c) p = 0.7\)- D. \((a) p = 0.7, (b) p = 0.4, (c) p = 0.5\)- E. \((a) p = 0.5, (b) p = 0.7, (c) p = 0.4\)- F. \((a) p = 0.4, (b) p = 0.7, (c) p = 0.5\)---**Source:**Copyright © 2022 Pearson Education Inc. All rights reserved.**Footer:**Terms of Use | Privacy Policy | Permissions | Contact Us

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Answered: The following histograms each represent…

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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Given the following probability distribution, Find P(x32) 1 2. 3. 4. P(x=x) 0.2 0.05 0.2 0.25 P(x32)%3= Next ► -Previous
Q. 3 In a large population of adults, 45% have a University degree. If people are selected at random from this population: (i) Find the probability that the third person selected is the first one that has a post University degree. (ii) Find mean and standard deviation of this geometric distribution.
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 26% of ice cream sales are vanilla. Chocolate accounts for only 10% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.) (a) What is the probability that 50 or more will buy vanilla?(b) What is the probability that 12 or more will buy chocolate?(c) A customer who buys ice cream is not limited to one container or one flavor. What is the probability that someone who is buying ice cream will buy chocolate or vanilla? Hint: Chocolate flavor and vanilla flavor are not mutually exclusive events. Assume that the choice to buy one flavor is independent of the choice to buy another flavor. Then use…
Below is a probability distribution for the number of failures in an elementary statistics course. Determine the following probabilities: a. P(X= 2) = b. P(X 2) = e. P(X = 1 or X = 4) = f. P(1 ≤X ≤ 4) = X 0 1 2 3 4 P(X=x) 0.41 0.18? 0.05 0.15 ab ab 12
If ? is a binomial random variable, compute the mean, the standard deviation, and the variance for each of the following cases: (a) ?=4,?=0.2?=?2= ?= (b) ?=5,?=0.9?= ?2=?=
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 25% of ice cream sales are vanilla. Chocolate accounts for only 7% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.)(a) What is the probability that 50 or more will buy vanilla?(b) What is the probability that 12 or more will buy chocolate?
A candidate arrives at the following answers to a problem involving a binomial distribution : X = 2.4, V = 3.2 Comment on the data.
If the mean of the following probability distribution is 3.44, what is the variance?
At Rachel's 11th birthday party, 8 girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis at the 5% level. Relaxed time (seconds) 29 48 28 22 23 45 37 29 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) + Part (d) Part (e) Part (f) Part (g) Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) απ (ii) Decision: O reject the null hypothesis Jumping time (seconds) 20 43 29 21 25 43 35 32 do not reject the…
(d) Annual salaries of the employees at a Fortune 500 company where only a few high level executives earn much higher salaries than the all other employees. The distribution is expected to be: O left skewed O symmetric O right skewed A typical observation is best represented by the: O mean O median The variability in the observations is best measured by the: O IQR O standard deviation
A student was analyzing a data set that was Normally distributed with a mean of . She calculated the z-score of a score z in the data set and looked up this value on a z-table (the same z-tables we have been using in class). The table gave a value of 0.4918 in this instance. Which of the following statements is true. O Any score in this data set has a 49.18% chance of being between 2 and z. O The score has a probability of 49.18. O The standard deviation of this data set is 0.4918 O The score x is 0.4918 standard deviations away from the mean.
Q43. If the difference between three times of mean and three times of variance is two for a binomial probability distribution for 6 trials then the probability of getting exactly 5 success is? < (a) (b) 2 35 4 35 25 36 (d) none of the above

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