10:39KIn the probability distribution to the right, the random variable X represents the number of hits abaseball player obtained in a game over the course of a season. Complete parts (a) through (f)below.(a) Verify that this is a discrete probability distribution.This is a discrete probability distribution because all of the probabilities are betweenand the sum of the probabilities is 1.(Type whole numbers. Use ascending order.)(b) Draw a graph of the probability distribution. Describe the shape of the distribution.Graph the probability distribution. Choose the correct graph below.O A.ProbabilityA0.4-0.3-0.240.1-0-45Number of HitsB.0.4+0.3+0.2+0.1+0-Describe the shape of the distribution.0 1 2 3Number of HitsThe distribution has one mode and is skewed left.(c) Compute and interpret the mean of the random variable X.Hx= 1.6275 hits(Type an integer or a decimal. Do not round.)Which of the following interpretations of the mean is correct?C.0.4+0.3+0.2+0.1-0-Vol) 12 ...| 46 | 14%0Number of Hits(Type an integer or a decimal. Do not round.)0x = hits(Round to three decimal places as needed.)(e) What is the probability that in a randomly selected game, the player got 2 hits?QO D.0.4-0.3-0.2+0.1-0(Type an integer or a decimal. Do not round.)(f) What is the probability that in a randomly selected game, the player got more than 1 hit?X012345P(x)0.16790.33450.28630.14970.03670.0249OA. Over the course of many games, one would expect the mean number of hits per game to be the mean of therandom variable.and 1, inclusive,B. The observed number of hits per game will be equal to the mean number of hits per game for most games.C. In any number of games, one would expect the mean number of hits per game to be the mean of the randomvariable.D. The observed number of hits per game will be less than the mean number of hits per game for most games.(d) Compute the standard deviation of the random variable X.0 1 2 3 4 5Number of Hits

Let's solve for the question numbered d, e and f as all the questions before them are answered…

Answered: (d) Compute the standard deviation of…

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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A sign on the pumps at a gas station encourages customers to have their oil checked, and claims that one out of 3 cars needs to have oil added. If this is true, what is the probability of each of the following: (a) What is the probability that at least two of the next 5 cars need oil? Probability = (b) What is the approximate probability that between 181 and 216 of the next 600 cars need oil (Use the Normal approximation technique)? Probability =
A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n = . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who the occupation of firefighter has very great prestige, so f = (0.6096 answer is incorrect.) .
A librarian wants to estimate the average number of book a patron will checkout over a years time. She believes from past studies the standard deviation is20 books per year. If she samples 100 patrons, with what probability can sheassert than the error in her estimate will be less than 5 books per year? (
Please solve it as soon as possible
A certain type of cancer is known to exist in 2 percent of the population of the males in their fifties. A test for the disease has been is advertised by a pharmaceutical company to have sensitivity 0.97 and specificity 0.95. A male is randomly selected from this population, and tested. The test result is negative. First determine the probability this male has the cancer.
Renee and Thomas live at the beach and collect seashells. The number of shells Renee collects on any given day, R, is approximately Normal with a mean of 58.2 shells and a standard deviation of 12.8 shells. The number of shells Thomas collects on any given day, T, is approximately Normal with a mean of 47.9 shells and a standard deviation of 11.5 shells. Assume the two random variables are independent of each other. What is the probability that on a randomly selected day the total number of shells collected by Renee and Thomas is 120 or more? 0.002 0.209 0.284 0.791
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