b)Universiti Teknologi MARA Cawangan Pahang has conducted a survey to know theperception of the students towards online and distance learning. A mail questionnairewas distributed. The proportion of people who respond to a certain mail questionnaire isa continuous random variable X, which has the probability density function as follow;ii)i) Find the expected value of Xiii)f(x)- {1/16 (x + 2)Find V (2x - 2)Calculate the variance of X0

Given,f(x)=116(x+2); 0<X<40; elsewhere

Answered: b) Universiti Teknologi MARA Cawangan…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20–39 who regularly skip eating breakfast is 0.2380.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size ?=500n=500 of young adults ages 20–39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, ?,X, in Lance's sample who regularly skip breakfast is greater than 126126. You may find table of critical values helpful. Express the result as a decimal precise to three places. Then, Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance's sample who regularly skip breakfast is less than 9898. Express the result as a decimal precise to three places.
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean u 278 days and standard deviation o 16 days. (a) What proportion of pregnancies lasts more than 290 days? (b) What proportion of pregnancies lasts between 274 and 286 days? (c) What is the probability that a randomly selected pregnancy lasts no more than 258 days? (d) A "very preterm" baby is one whose gestation period is less than 254 days. Are very preterm babies unusual? (a) The proportion of pregnancies that last more than 290 days is (Round to four decimal places as needed.) (b) The proportion of pregnancies that last between 274 and 286 days is (Round to four decimal places as needed.) (c) The probability that a randomly selected pregnancy lasts no more than 258 days is (Round to four decimal places as needed.) (d) The probability of a "very preterm" baby is This event unusual because the probability is than 0.05 (Round to four decimal places as needed.) Enter your answer in each of…
It is known that a certain lacrosse goalie will successfully make a save 91.83 percent of the time. Suppose that lacrosse goalie attempts to make 11 saves. A) What is the probability that the lactose goalie makes 8 saves B) Let x be the random variable which denotes the number of saves that are made by the lacrosse goalie. Find the expected value and standard deviation of the random variable. E(X)= O=
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A cereal manufacturing company conducted research about the amount they give in their cereal boxes and they found that in reality the amount of cereal varies from box to the average amount of cereal in the box is 15 oz and the standard deviation is 0.2 oz. a) If a cereal box is randomly selected then find the probability that the cereal box amount is less than 14.6 oz. b) Find the cereal box amount (in oz.) at which 10% of the cereal boxes have less than this much cereal.

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