The life insurance policies of an insurance company are classified by: • Age of the insured I. • Under 25 years, Between 25 years and 50 years, Over 50 years old; • Sex • Marital status • Single or Married What is the total number of classifications?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 4E: Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)=...
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I.
The life insurance policies of an insurance company are classified by:
• Age of the insured
Under 25 years,
Between 25 years and 50 years,
Over 50 years old;
• Sex
• Marital status
Single or
Married
What is the total number of classifications?
Find the number of distinguishable arrangements of the letters of each word.
a) ANNA
II.
b) MISSISSIPPI
III. For the experiment of rolling a single fair die, find the probability of each event.
a) not less than 2 b) not prime c) odd or less than 5 d) even or prime e)odd or even
f) less than 3 or greater than 4
IV. Consider each distribution. Determine if it is a valid probability distribution or not, and
explain your answer.
1
P(x)
0.21
0.64
0.15
a) Compute the expected value ( or Mean) of the distribution.
b) Compute the standard deviation of the distribution. (Round your answer to four
decimal places.)
V. To raise money for a charity, a local organization plans a carnival game. Each player will pay $2 to roll
a die. If a 6 is rolled, the player wins $5; if any other number is rolled , the player wins nothing. What is a
player's expected earning from this game.
VI. Consider a binomial experiment with n = 6 trials where the probability of success on a
single trial is p = 0.35. (Round your answers to three decimal places.)
(a) Find P(r = 0).
b) (b) Find P(r > 1) by using the complement rule.
VII. Given the binomial experiment withn = 100 trials and probability of success on a
single trial p = 0.07,
a) find the value of 1
b) Use the Poisson distribution to estimate the probability of r = 7 successes. (Round
your answer to four decimal places.)
Transcribed Image Text:I. The life insurance policies of an insurance company are classified by: • Age of the insured Under 25 years, Between 25 years and 50 years, Over 50 years old; • Sex • Marital status Single or Married What is the total number of classifications? Find the number of distinguishable arrangements of the letters of each word. a) ANNA II. b) MISSISSIPPI III. For the experiment of rolling a single fair die, find the probability of each event. a) not less than 2 b) not prime c) odd or less than 5 d) even or prime e)odd or even f) less than 3 or greater than 4 IV. Consider each distribution. Determine if it is a valid probability distribution or not, and explain your answer. 1 P(x) 0.21 0.64 0.15 a) Compute the expected value ( or Mean) of the distribution. b) Compute the standard deviation of the distribution. (Round your answer to four decimal places.) V. To raise money for a charity, a local organization plans a carnival game. Each player will pay $2 to roll a die. If a 6 is rolled, the player wins $5; if any other number is rolled , the player wins nothing. What is a player's expected earning from this game. VI. Consider a binomial experiment with n = 6 trials where the probability of success on a single trial is p = 0.35. (Round your answers to three decimal places.) (a) Find P(r = 0). b) (b) Find P(r > 1) by using the complement rule. VII. Given the binomial experiment withn = 100 trials and probability of success on a single trial p = 0.07, a) find the value of 1 b) Use the Poisson distribution to estimate the probability of r = 7 successes. (Round your answer to four decimal places.)
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