Probability4. In the probability distribution to the right, the random variable X represents the number of hits a baseballplayer obtained in a game over the course of a season. Complete parts (a) through (f) below.(x))0.16860.33591.0.2851230.14770.03784.0.02495.(a) Verify that this is a discrete probability distribution.betweenandThis is a discrete probability distribution because (1)inclusive, and the (2)of the probabilities is(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.Oc.OD.OB.0.4+0.4-0.4-0.4-0.3-0.3-0.3+0.3-0.2-0.2-0.2구0.2-0.1-0.1-0.1-0.1-0-0 12 3 450-01 2 3 450-0 12 3 4501234 5Number of HitsNumber of HitsNumber of HitsNumber of HitsDescribe the shape of the distribution.The distribution (3)and is (4)(c) Compute and interpret the mean of the random variable X.Hx=hits%3D(Type an integer or a decimal. Do not round.).Which of the following interpretations of the mean is correct?O A. The observed number of hits per game will be less than the mean number of hits per game formost games.O B. In any number of games, one would expect the mean number of hits per game to be the meanof the random variable.O C. The observed number of hits per game will be equal to the mean number of hits per game formost games.O D. Over the course of many games, one would expect the mean number of hits per game to bethe mean of the random variable.(d) Compute the standard deviation of the random variable X.hits%3D(Round to three decimal places as needed.)(e) What is the probability that in a randomly selected game, the player got 2 hits?

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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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The data on the right represent the number of live multiple-delivery births (three or more babies) in a particular year for women 15 to 54 years old. Use the data to complete parts (a) through (d) below. Age Number of Multiple Births 15-19 90 20-24 512 25-29 1633 30-34 2839 35-39 1842 40-44 379 45-54 115 (a) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother 30 to 39 years old. P(30 to 39)=0.6320.632 (Type an integer or decimal rounded to three decimal places as needed.) (b) Determine the probability that a randomly selected multiple birth for women 15-54 years old involved a mother who was not 30 to 39 years old. P(not 30 to 39)=nothing (Type an integer or decimal rounded to three decimal places as needed.)
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Complete parts (a) through (f) below. Describe the shape of the distribution. The distribution is multimodal and is skewed right. (c) Compute and interpret the mean of the random variable X. Hx = 0.924 marriages (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? A. If many individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable. B. The observed number of marriages will be less than the mean number of marriages for most individuals. C. The observed number of marriages will be equal to the mean number of marriages for most individuals. D. If any number of individuals aged 15 year or older were surveyed, one would expect the mean number of marriages to be the mean of the random variable. (d)…
Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.
Answer 1&2 plz
Megan has purchased the insurance policy from an insurance company to cover the value of hers new car in case if it gets totaled for the price of $1500 per year. Megan's car worth $20000 and the probability of her totaling the car during the length of the policy is estimated to be 0.4%. Let XX be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for XX : XX outcome profit xx ,$ P(X=x)P(X=x) car is totaled car is not totaled 2. Use the probability distribution table to find the following: E[X]=μX=E[X]=μX= dollars. (Round the answer to 1 decimal place.) SD[X]=σX=SD[X]=σX= dollars. (Round the answer to 1 decimal place.)
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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4. In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below.