A fair die is thrown five times. Let X be the random variable "number of getting an ever mumber in the 5 throws". Then P(X24) = O O O 0.5432 0.8125 0.1875 0.0312
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- 2. Let X be the mean of a random sample of n = 25 from N(30, 9). Find the probability that the sample mean is between 29.8 and 30.6.The probability that a fisherman catches a tuna in any one excursion is 0.19. What is the probability that he catches a tuna on each of four excursions? On at least one of four excursions? The probability that he catches a tuna on each of four excursions is 0.001303. (Type an integer or decimal rounded to six decimal places as needed.) The probability that he catches a tuna on at least one of four excursions is (Type an integer or decimal rounded to three decimal places as needed.)Let Y be the number of successes in n independent trials of a random experiment having probability of success . For n = 5, compute P(Y > 3).
- A die has been “loaded” so that the probability of rollingany even number is 2/9 and the probability of rollingany odd number 1/9 is What is the probability of(a) rolling a 5?(b) rolling a 5, given that an even number is rolled?(c) rolling a 5, given that an odd number is rolled?According to recent reports, currently 39% of the population of NC (adults and children) has been fully vaccinated against Covid. Suppose of random sample of 400 individuals from the population of NC is selected. Let x represent the number in the sample who are fully vaccinated. d. Find the probability that 130 or fewer in the sample have been fully vaccinated. Round to 4 decimal places. Would this result be unusual? Explain.* 5.2.2 Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly four of them are comfortable with delivery by drones. Identify the values of n, x, p, and q. The value of n is 6 (Type an integer or a decimal. Do not round.) The value of x is 4 (Type an integer or a decimal. Do not round) The value of p is 0.43 (Type an integer or a decimal. Do not round.) The value of q isN (Type an integer of a decimal. Do not round. (10) Могe
- Use the table below for groups of 8 births from 8 different sets of parents. Number of girls, x P(x) 0 0.004 1 0.031 2 0.109 3 0.219 4 0.273 5 0.219 6 0.109 7 0.031 8 0.004 Find the probability of getting exactly 7 girls in 8 births.Time left 1:08:15 Two numbersx and y are selected at random between 0 and 1. Let the events A, B and C be defined as follows: A (x> 1/3), B = (y> 2/3} and C = (x>y). Please find the probability of A given C. О a. 1/4 OБ. 3/4 Oc. 5/9 Od. 8/9 Next page age Jump to.. unular amek için buraya yazınTime left 1:2 In one sectlon of STAT 1811 course, there are 10 glrls and 20 boys. What Is the probability that in a randomly selected sample of two students from that section both will be glrls? O a. 0.3333 Ob. 0,1034 O c. 0.1111 d. 0.5000