Exam 6: Probability

A jar contains 10 red marbles and 30 blue marbles.A random sample of n = 3 marbles is selected from the jar.If the first two marbles are both blue, what is the probability that the third marble will be red?

For a normal distribution, proportions in the right-hand tail are positive and proportions in the left-hand tail are negative.

For a normal distribution, the proportion in the tail beyond z = 1.50 is p = 0.0668.

For the normal approximation to the binomial distribution with n = 100 and p = 1/5, the probability of selecting a score greater than or equal to 25 is p = 0.1056.

If one score is randomly selected from a normal distribution with µ = 100 and σ = 20, the probability of obtaining a score greater than X = 110 is p = 0.6915.

A vertical line drawn through a normal distribution at z = -0.75 will separate the distribution into two sections.The proportion in the smaller section is 0.2734.

A normal distribution has a mean of µ = 70 with σ = 12.If one score is randomly selected from this distribution, what is the probability that the score will be less than X = 76?

The binomial distribution for p = ½ and n = 100 has a standard deviation of σ = 25.

A normal distribution has a mean of µ = 100 with σ = 20.If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 110?