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Business Stat

by | Nov 30, 2023 | questions

1. ” Absences” are the people with reservations who fail to arrive. The following table shows the number of absences each day at a hotel over the last 125 business days.

Absences Frequency
0 61
1 35
2 10
3 12
4 7
What is the probability that there will be more than on absence today?

2. According to historical information. 77% of husband-wife families with kids under 18 years old have life insurance. A random sample of six husband-wife families was selected. What is the probability that exactly four families have life insurance?

3. According to the Insurance Data Bank, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the mean of this distribution?

4. According to the Insurance Data Bank, 14% of U.S. drivers are uninsured. A random sample of seven drivers was selected. What is the standard deviation of this distribution?

5. A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain exactly four chocolate chips?

6. A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain one or two chocolate chips?

7. Assume that the number of customers who arrive at a water ice stand follows the Poisson distribution with an average rate of 6.4 per 30 minute. What is the probability that three or four customers will arrive during the next 30 minutes?

8. From a population of 52 computers connected to INTERNET there are 13 contaminated with a Trojan virus. If a random sample of 5 are selected: What is the probability that the 5 machines will appear contaminated.
A) 0.0005 B) 0.2215 C) 0.3846 D) None of the given values

9. The probability of winning a lottery game where 5 numbers are picked from a range of 56, and additionally a “mega” number must be picked from a range of 46 is
A)1/3819816 B)1/3819862 C)1/175711536 D) None of the given values

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