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Find the indicated probability:
A bag contains 6 red marbles, 3 blue marbles, and 5 green marbles.
If a marble is randomly selected from the bag, what is the probability that it is blue?
3/14
You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a King and the second card is a queen.
Express your answer as a simplified fraction.
4/663
Find the probability of correctly answering the first 3 questions on a multiple-choice test, if random guesses are made and each question has 6 possible answers.
1/216
(a) What is the probability that the consumer is not someone who “Liked ZapFizz”?
(b) What is the probability that the selected consumer answered Disliked ZapFizz AND is aged 35–54?
(a) 0.85
(b) 0.02
P (Corona|Apartment) =
Calculate the following probability.
Round your answer to the thousandths place.
0.322
An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
Round to the nearest thousandth
0.999
A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a loss(due to bad weather, strikes, and such) of $8000 with a probability of 0.3. What is the expected profit?
$15,800
Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Choosing 5 people (without replacement) from a group of 62 people, of which 9 are women, keeping track of the number of men chosen.
A) Not binomial: the trials are not independent.
B) Not binomial: there are more than two outcomes for each trial.
C) Not binomial: there are too many trials.
D) Procedure results in a binomial distribution.
A) Not binomial: the trials are not independent.
Determine whether the given procedure results in a binomial distribution. If not, state the reason why
Rolling a single "loaded" die 19 times, keeping track of the numbers that are rolled.
A) Not binomial: there are too many trials.
B) Not binomial: there are more than two outcomes for each trial.
C) Not binomial: the trials are not independent.
D) Procedure results in a binomial distribution.
B) Not binomial: there are more than two outcomes for each trial.
Mars, Inc. claims that 20% of its M&M plain candies are orange. A sample of 100 such candies is randomly selected. Find the mean and standard deviation for the number of orange candies in such groups of 100.
µ = 20, SD= 4.0
The Acme Candy Company claims that 60% of the jawbreakers it produces weigh more than 0.4 ounces. Suppose that 800 jawbreakers are selected at random from the production lines. Would it be significant for this sample of 800 to contain 494 jawbreakers that weigh more than 0.4 ounces? Consider as significant any result that differs from the mean by more than 2 standard deviations. That is, significant values are either less than µ - 2 or greater than µ + 2 .
A) Yes
B) No
B) No
Find the probability of selecting 12 or more girls.
0.007
A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly?
0.236
Are the events “On-Time” and “Mountain Air” mutually exclusive?
A: They are mutually exclusive because both events can’t happen at the same time, and their joint probability is zero.
B: They are not mutually exclusive because both events can occur at the same time, and their joint probability is greater than zero.
B: They are not mutually exclusive because both events can occur at the same time, and their joint probability is greater than zero.
Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.
B) 0.9318
The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
The shaded area is 0.4013
-0.25
Find the area of the shaded region.
The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
17.
0.8708
Find the area of the shaded region.
The graph depicts the standard normal distribution with mean 0 and standard deviation 1.
18.
0.9656
Assume that a randomly selected subject is given a bone density test. Bone density test scores are normally distributed with a mean of 0 and a standard deviation of 1. The bone density score separating the bottom 14% from the top 86%
Find the bone density score corresponding to P14.
-1.080
Classify each scenario as Dscrete or Continuous.
A) Rolling a 6-sided die and recording the outcome.
A: Discrete
B: Continuous
B) Number of gallons used before refilling the gas tank.
A: Discrete
B: Continuous
A) Discrete
B) Continuous
The time (in minutes) it takes customers to check out at a local grocery store follows a uniform distribution over the interval of 3 minutes to 15 minutes. What is the probability that a randomly selected customer spends more than 9 minutes checking out?
0.5
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?
0.4013
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% from the top 40%.
212.5
A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 78.
0.0008
The distribution of certain test scores is a nonstandard normal distribution with a mean of 50 and a standard deviation of 6. What are the values of the mean and standard deviation after all test scores have been standardized by converting them to z-scores using z = (x - µ) / SD
A) The mean is 1 and the standard deviation is 0.
B) The mean is 10 and the standard deviation is 100.
C) The mean is 0 and the standard deviation is 1.
D) The mean is 100 and the standard deviation is 10.
C) The mean is 0 and the standard deviation is 1.