If a random variable has a probability density ?(?) = { 0 ??? ? ≤ 0 ???−4? ??? ? > 0 Then find k and the probabilities that it will take on a value a) Between 2 and 4 b) Greater than ¼
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If a random variable has a
?(?) = {
0 ??? ? ≤ 0
???−4? ??? ? > 0
Then find k and the probabilities that it will take on a value
a) Between 2 and 4 b) Greater than ¼
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- Given the following probability distribution for the number of semesters of Math a (non-Math major) college student will take as they earn their degree: x:number of semesters of Math 1 2 3 4 P(x) 0.25 0.45 0.20 0.10 What is the probability that a randomly selected (non-Math major) college student will have taken exactly 3 semesters of Math? Show how you calculated your result here (type in what you typed on your calculator or computer, etc) Calculation: __________ Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(exactly 3 semesters of Math) = _____________Q10. Z-score If Z is standard normal variable use the table of standard normal probabilities to find and draw the diagram. a) P(z2.13)Q1. Suppose that X and Y are jointly continuous random variable ??? 0 < ? < 1 ??? 1 < ? < 2 ?(?, ?) = { 0 y - x ??ℎ?????? (?) ??????? ??? ???? ??(?) ??? ??(?)) (b) ??????? ??? ???? ??(?) ??? ??(?) (c) ??????? ?(?), ???(?), ?(?) ??? ???(?) The picture below also shows the question just incase
- Q7. A random variable X with a mean of 2.5 follows an exponential distribution. Find the following probabilities: (a) P(X > 2.5), (b) P(X xo) = 0.05.Match the following questions with the correct answers. A. 24 B. 0.0929 C. 2 D. 154 E. 3/4 F. 120 select select select select select select 1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)2. Find the probability that a person aged 20 eventually marries. 2. If X is the number of 6's which appear when 72 dice are thrown, what is the expected value of X²? 3. Suppose only 12% of men in ancient Greece were honest. What is the probability that the first honest man Diogenes Jencounters will be the third man he meets? 4. Find the expected value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 5. Find the variance value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 6. If for a Poisson distribution 2f(0)+f(2)=2f(1), what is the variance of the distribution?Use the following information to answer A-C. The table below shows the probablity of a certain number of students having fatigue. (Out of 4 randomly selected students)/ x P(x) 0 0.10 1 0.20 2 0.35 3 0.30 4 0.05 A) What is the probability that more than 2 of 4 randomly selected students have fatigue? B) What is the mean (to the nearest 0.1) number of students with fatigue out of 4 randomly selected students? C) What is the standard deviation (to the nearest 0.1) of the number of students with fatigue out of 4 randomly selected students? [Show all work with a table or formula]