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Chapter 6: Q.71 (page 403)

Explain whether the given random variable has a binomial distribution.

Lefties Exactly 10%of the students in a school are left-handed. Select students at random from the school, one at a time, until you find one who is left-handed. Let V=the number of students chosen.

Short Answer

Expert verified

The given distribution is not binomial

Step by step solution

01

Given Explanation

Exactly 10%of the students in a school are left-handed.

We have to find students one who is left-handed at random from the school.

02

Explanation

The variable Vin this question is not a binomial distribution because each subsequent draw is dependent on the preceding draw because there is no fixed amount of pieces drawn each time. Only after a left-handed person is found is the draw made.

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Most popular questions from this chapter

While he was a prisoner of war during World War II, John Kerrich tossed a coin 10,000times. He got5067heads. If the coin is perfectly balanced, the probability of a head is 0.5.

(a) Find the mean and the standard deviation of the number of heads in 10,000tosses, assuming the coin is perfectly balanced.

(b) Explain why the Normal approximation is appropriate for calculating probabilities involving the number of heads in 10,000tosses.

(c) Is there reason to think that Kerrich鈥檚 coin was not balanced? To answer this question, use a Normal distribution to estimate the probability that tossing a balanced coin 10,000times would give a count of heads at least this far from 5000(that is, at least5067 heads or no more than 4933 heads

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Spell-checking Refer to Exercise 3. Calculate and interpret the standard deviation of the random variable X. Show your work

52. Study habits The academic motivation and study habits of female students as a group are better than those of males. The Survey of Study Habits and Attitudes (SSHA)is a psychological test that measures these factors. The distribution of SSHAscores among the women at a college has mean120and standard deviation 28, and the distribution of scores among male students has mean 105and standard deviation 35.You select a single male student and a single female student at random and give them theSSHA test.
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