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Find the standard deviation for the probability distribution.

Focus groups of 11 people are randomly selected to discuss products of the Famous Company. It is determined that the mean number per group who recognize the Famous brand name is 6. Would it be unusual to randomly select 11 people and find that greater than 9 recognize the Famous brand name? A Yes B No. Assume that a researcher randomly selects 14 newborn babies and counts the number of girls selected, x.

The probabilities corresponding to the 14 possible values of x are summarized in the given table. Answer the question using the table. Find the probability of selecting exactly 8 girls. Find the probability of selecting 12 or more girls. What is the expected profit? What is your expected value? If the probability that he will live through the year is 0.

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Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Choosing 7 marbles from a box of 40 marbles 20 purple, 12 red, and 8 green one at a time without replacement, keeping track of the number of red marbles chosen. A Procedure results in a binomial distribution. B Not binomial: the trials are not independent. C Not binomial: there are more than two outcomes for each trial. D Not binomial: there are too many trials. The has fixed number of trials 2. The trials must be independent 3. The probability of success remains the same in all trials. Choosing 6 marbles from a box of 40 marbles 20 purple, 12 red, and 8 green one at a time with replacement, keeping track of the number of red marbles chosen.

To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? Find the probability of at least 2 girls in 10 births.

## Embedded Answers (Cloze) question type

Assume that male and female births are equally likely and that the births are independent events. If the airline books 71 people on a flight for which the maximum number is 69, what is the probability that the number of people who show up will exceed the capacity of the plane? A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 30 components and accept the whole batch if there are fewer than 3 defectives.

A multiple choice test has 10 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? If 5 people are selected at random, what is the probability that exactly 2 of them are left handed? The probability is 0. Find the mean number of defects per batch. Find the standard deviation for the number of defects per batch.

What is the probability that the random variable has a value greater than 4? What is the probability that the random variable has a value less than 7. What is the probability that the random variable has a value between 0. Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. If z is a standard normal variable, find the probability. Assume that adults have IQ scores that are normally distributed with a mean of and a standard deviation of 15 as on theWechsler test.

Find the probability that a randomly selected adult has an IQ between 90 and somewhere in the range of normal to bright normal. The amount of rainfall in January in a certain city is normally distributed with a mean of 3. Find the value of the quartile Q1. Assume that women have heights that are normally distributed with a mean of Find the value of the quartile Q3.

Assume that X has a normal distribution, and find the indicated probability. Find the probability that X is between The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.

What is the probability that the diameter of a randomly selected pencil will be less than 0. A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of and a standard deviation of If an applicant is randomly selected, find the probability of a rating that is between and The lengths of human pregnancies are normally distributed with a mean of days and a standard deviation of 15 days.

What is the probability that a pregnancy lasts at least days? The scores on a certain test are normally distributed with a mean score of 60 and a standard deviation of 2. What is the probability that a sample of 90 students will have a mean score of at least Assume that women's heights are normally distributed with a mean of If 90 women are randomly selected, find the probability that they have a mean height between Suppose that replacement times for washing machines are normally distributed with a mean of 9.

Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9. A final exam in Math has a mean of 73 with standard deviation 7. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than If 24 students are randomly selected, find the probability that the mean of their test scores is less than The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability. The probability of at least 42 boys A The area to the right of The probability that the number of correct answers is between 22 and 48 inclusive A The area between Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution.

Estimate the probability that among the next responses there will be at most 40 correct answers.

Two percent of hair dryers produced in a certain plant are defective. Estimate the probability that of 10, randomly selected hair dryers, exactly are defective. Estimate the probability that of 10, randomly selected hair dryers, at least are defective. Sign in. Unit Test 2 Probabilty.

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Set Details Share. Essentials of Statistics Chapters C 13 nCr 5.

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