If rolling a fair die results in an even number, what is the conditional probability that this number is also greater than three?

What does it mean if the addition rule P(A or B) = P(A) + P(B) -P(A and B) simplifies to P(A or B) = P(A) + P(B)?

A company operates two plants for manufacturing motorcycles. The first plant produces 70% of the motorcycles, while the remaining 30% are produced at the second plant. Quality assessments reveal that 80% of motorcycles from the first plant meet the standard quality, whereas 90% from the second plant are of standard quality. If a motorcycle is selected at random and found to be of standard quality, determine the probability that it was manufactured at the second plant. The following events can defined from the problem statement Event A: The motorcycle is manufactured at the first plant.Event B: The motorcycle is manufactured at the second plant.Event C: The motorcycle is of standard quality. (1) Write the probabilities associated for each of the following events. (3pt)P(A)P(B)P(C|A)P(C|B) (2) Write the formulation for calculating P(C) and calculate the probability that a randomly picked motorcycle is of standard quality. (3pt) (3) State the Baye’s theorem formula for determining the probability that the motorcycle selected at random is from the second plant given that it is found to be of standard quality P(B|C) and calculate P(B|C). (4pts)

Which factor does not affect the shape of the sampling distribution of the mean?

If you were deciding to travel to two of your favorite cities from among the following; Tokyo, Paris, Sydney, London, Rio and NY, then in how many different ways can you choose them?

What is the effect of increasing sample size on the width of a confidence interval?

What would be an effect of using nonrandom sampling methods on the conclusions drawn from the sampling distribution?

Which scenario best illustrates the concept of the sampling distribution of the mean?

In a school lottery where every student has an equal chance of winning and there are 20 students, if the lottery is conducted 100 times, what is the theoretical probability that a particular student does not win in a single draw?

What does the Central Limit Theorem state about the sampling distribution of the mean for large sample sizes?