Suppose the random variable X has the binomial distribution with parameters n=8 and p=0.67. Consider the random variable Y=3X. Then Y will also have a binomial distribution. True or false?

Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean ? = 62.0 kg and standard deviation ? = 9.0 kg. Suppose a doe that weighs less than 53 kg is considered undernourished. (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 70 does should be more than 59 kg. If the average weight is less than 59 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 70 does is less than 59 kg (assuming a healthy population)? (Round your answer to four decimal places.) Suppose park rangers captured, weighed, and released 70 does in December, and the average weight was x = 63.8 kg. Do you think the doe population is undernourished or not? Explain. A. Since the sample average is above the mean, it…

We are picking 200 jelly beans out of a huge vat at a factory known to have 25% black jelly beans. Use the normal approximation to the binomial to find the probability that we get 60 or fewer black jelly beans

ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File