Chapter 4: Q.3 (page 282)
Short Answer
The necessary probability is .
Chapter 4: Q.3 (page 282)
The necessary probability is .
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Get started for freeIdentify the mistake in the probability distribution table.
Use the following information to answer the next five exercises: A physics professor wants to know what percent of physics
majors will spend the next several years doing post-graduate research. He has the following probability distribution.
Find the probability that a physics major will do post-graduate research for four years.
In words, the random variable
a. the number of times Mrs. Plum’s cats wake her up each week.
b. the number of times Mrs. Plum’s cats wake her up each hour.
c. the number of times Mrs. Plum’s cats wake her up each night.
d. the number of times Mrs. Plum’s cats wake her up.
Suppose that you are performing the probability experiment of rolling one fair six-sided die. Let F be the event of rolling a four or a five. You are interested in how many times you need to roll the die in order to obtain the first four or five as the outcome. • p = probability of success (event F occurs) • q = probability of failure (event F does not occur)
a. Write the description of the random variable X.
b. What are the values that X can take on?
c. Find the values of p and q.
d. Find the probability that the first occurrence of event F (rolling a four or five) is on the second trial.
Use the following information to answer the next five exercises: Suppose that a group of statistics students is divided into two groups: business majors and non-business majors. There are business majors in the group and seven non-business majors in the group. A random sample of nine students is taken. We are interested in the number of business majors in the sample.
What values does take on?
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