1. In an event X, the probability of rolling a sum of 8 on two dice is 5/36 while the probability of rolling an 11 is 2/36. In another event Y, the probability of rolling a 2 is 1/36, the probability of rolling a 9 is 4/36, and the probability of rolling a 4 is 3/36.
2. What is probability that neither X nor Y will occur?Round your answer to2 decimals.
3. While rolling two dice, what is the probability of rolling a sum of 7 or more? Round your answer to2 decimals.
4. Consider an event X comprised of three outcomes whose probabilities are 9/18, 1/18 , and 6/18 . Compute the probability of the complement of the event. Round your answer to2 decimals.
5. In an event X, the probability of rolling a sum of 8 on two dice is 5/36 while the probability of rolling an 11 is 2/36. In another event Y, the probability of rolling a 2 is 1/36, the probability of rolling a 9 is 4/36, and the probability of rolling a 4 is 3/36.What is the probability that either event X or Y occurs? Round your answer to2 decimals.
6. In an event X, the probability of rolling a sum of 8 on two dice is 5/36 while the probability of rolling an 11 is 2/36. In another event Y, the probability of rolling a 2 is 1/36, the probability of rolling a 9 is 4/36, and the probability of rolling a 4 is 3/36.What is probability that neither X nor Y will occur?Round your answer to2 decimals.
7. In event Y, the probability of rolling a 2 is 1/36, the probability of rolling a 9 is 4/36, and the probability of rolling a 4 is 3/36. Consider an event Z that includes all outcomes of rolling two dice whosesum is odd. What is the probability that either event Y or Z occurs?Round your answer to2 decimals.
8. Which of the following computes the probability of an event P given that event Q is known to have occurred?

Group of answer choices

P(P|Q) = P(P and Q) / P(Q)

P(Q|P) = P(Q) - P(P)

P(P|Q) = P(Q) - P(P or Q)

P(Q|P) = P(P or Q) - P(Q)

If P(X|Y) = P(X), it implies that event Y is dependent on event X.

Group of answer choices

True

False

Which of the following will hold true if events X and Y are independent?

Group of answer choices

P(X) = P(X|Y)

P(X and Y) = [P(X) + P(Y)] - P(X or Y)

P(X) = P(Y) P(X and Y)

P(Y) = P(X|Y)

Which of the following is a continuous random variable?

Group of answer choices

the time to specific task

the outcomes of rolling two dice

the number of new hires in a year

the number of hits on a Web site link

The ________ of a random variable corresponds to the notion of the mean, or average, for a sample.

Group of answer choices

expected value

mode

variance

standard deviation

Which of the following is a weighted average of the squared deviations from the expected value?

Group of answer choices

variance

skewness

mean difference

kurtosis

Which of the following is true about variance?

Group of answer choices

It measures the uncertainty of a random variable.

Higher variance implies low uncertainty.

It is the square root of a random variable's standard deviation.

It is the weighted average of all possible outcomes.