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From the random variable table given here, what is the P(X<3) ? In a particular

ID: 3375012 • Letter: F

Question

From the random variable table given here, what is the P(X<3) ?

In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4, and if the number of spots showing is 1, 2, or 3 you win nothing. The cost of the game is $2. What is the expected net gain?

-$2.00

onsider the probability distribution of X given in the figure. What is the expected value of X ?

Event A occurs with probability 0.8. The probability that event B occurs given that A occurs is 0.5. What is the probability that both A and B occur ?

0.625

0.22

Department of motor vehicles in a large southern state gives data on seat belt use and survival outcome of auto accidents displayed in the following table:

What is the probability the individual died given they wore a seat belt ? Choose closest answer.

Value of X Probability 1 0.50 2 0.20 3 0.15 4 0.10 5 0.05

Explanation / Answer

Solution :

From gven probability distribution able,

P(X < 3) = P(X = 1) + P(X = 2) = 0.50 + 0.20 = 0.7

Probability = 0.7

Dr Jack
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