According to recent research by NASA, 28% of the world's space products are manufactured in the...

 

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According to recent research by NASA, 28% of the world's space products are manufactured in the USA. Consider a random sample of five space products and let x represent the number in the sample that are manufactured in USA. The formula below gives the probability distribution for x, where n! = (n)(n -1)(n-2)...(2)(1). Complete parts a through d. (5!)(0.28)*(0.72)5 -* P(x) = (x!)(5 - x)! .... a. Explain why x is a discrete random variable. O A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. O B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. O C. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O D. The event x is a discrete random variable because the values of the random variable are countable. b. Find p(x) for x = 0, 1, 2, 3, 4, 5. 1 4 p(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply. According to recent research by NASA, 28% of the world's space products are manufactured in the USA. Consider a random sample of five space products and let x represent the number in the sample that are manufactured in USA. The formula below gives the probability distribution for x, where n! = (n)(n- 1)(n-2)...(2)(1). Complete parts a through d. (5!)(0.28)*(0.72)5-x (x!)(5 - x)! p(x) = O A. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. C. The event x is a discrete random variable because the values of the random variable pre countable and each possible outcome is equally likely. O D. The event x is a discrete random variable because the values of the random variable are countable. b. Find p(x) for x 0, 1, 2, 3, 4, 5. 1 4. P(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply. O A. Each probability is greater than or equal to 1. B. The probabilities sum to 0. C. The probabilities sum to 1. D. Each probability is greater than or equal to E. The properties for a discrete probability distribution are not satisfied. d. Find the probability that at least four of the five space products in the sample are manufactured in USA. P(x24) = (Type an integer or a decimal rounded to three decimal places as needed.) O O O O According to recent research by NASA, 28% of the world's space products are manufactured in the USA. Consider a random sample of five space products and let x represent the number in the sample that are manufactured in USA. The formula below gives the probability distribution for x, where n! = (n)(n -1)(n-2)...(2)(1). Complete parts a through d. (5!)(0.28)*(0.72)5 -* P(x) = (x!)(5 - x)! .... a. Explain why x is a discrete random variable. O A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. O B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. O C. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O D. The event x is a discrete random variable because the values of the random variable are countable. b. Find p(x) for x = 0, 1, 2, 3, 4, 5. 1 4 p(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply. According to recent research by NASA, 28% of the world's space products are manufactured in the USA. Consider a random sample of five space products and let x represent the number in the sample that are manufactured in USA. The formula below gives the probability distribution for x, where n! = (n)(n- 1)(n-2)...(2)(1). Complete parts a through d. (5!)(0.28)*(0.72)5-x (x!)(5 - x)! p(x) = O A. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. O B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals. C. The event x is a discrete random variable because the values of the random variable pre countable and each possible outcome is equally likely. O D. The event x is a discrete random variable because the values of the random variable are countable. b. Find p(x) for x 0, 1, 2, 3, 4, 5. 1 4. P(x) (Type integers or decimals rounded to three decimal places as needed.) c. Check that the properties for a discrete probability distribution are satisfied. Select all that apply. O A. Each probability is greater than or equal to 1. B. The probabilities sum to 0. C. The probabilities sum to 1. D. Each probability is greater than or equal to E. The properties for a discrete probability distribution are not satisfied. d. Find the probability that at least four of the five space products in the sample are manufactured in USA. P(x24) = (Type an integer or a decimal rounded to three decimal places as needed.) O O O O

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