If a random sample of 40 is taken from each of the following distribution find the probability for each case that the sample mean exceeds 6.1 b. X~B(10,0.6)
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- Pls answer number 1 and 2About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 70%? Assume the sampling distribution of sample proportions is a normal distribution. pq The mean of the sample proportion is equal to the population proportion and the standard deviation is equal to n The probability that the sample proportion surviving for at least 3 years will be less than 70% is| (Round to four decimal places as needed.)please sir solve this question
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 3.0 minutes and standard deviation of 1.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n¡ = 47 customers in the first line and n2 = 49 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.6 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = iPlease complete B & C thank you!The discrete probability distribution is given by i. ii. iii. x P(X = x) 0 0 1 k Show that k Find the mean of the probability distribution. Find the variance of the probability distribution. 2 2k 3 3k نیا
- Find the maximum and minimum value. Based on the result, is 1 girl in 10 births a significantly low number of girls?A random variable follows a normal distribution with mean 12k and variance σ2. The probability that a RV is less than p is 0.9582. knowing that the RV exceeds 10k, the probability that the RV is less than p is 0.95. Calculate σ.4
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)Determine distribution the shape of the probability for the problem of random walk considering N = 20 and interpret the results to: p = q = 1/2 p = 0.6 e q = 0.4