Suppose the weights of mandarins in a large crate each have a Normal distribution with μ = 106 grams and σ = 14.8 grams. Consider the random process of picking 4 mandarins independently and putting them in a bag. The probability that the contents of the bag weighs at least 500 grams is
Suppose the weights of mandarins in a large crate each have a Normal distribution with μ...
Suppose that the distribution of the weights of bags of carrots from brand A is N(1.2,0.049) and the distribution of the weights of bags of carrots from brand A is N(3.5, 0.081). The weights of bags from two brands is independent. Selecting bags at random find a) The probability that the sum of a random sample of the weights of three bags from brand A exceeds the weight of a bag from brand B. Give answer to the 4th decimal....
6. Suppose that X1,X2 , Xn form a random sample from a normal distribution N(μ, σ 2), both unknown. consider the hypotheses Construct a likelihood ratio test and show that this LRT is equivalent to a t-test 6. Suppose that X1,X2 , Xn form a random sample from a normal distribution N(μ, σ 2), both unknown. consider the hypotheses Construct a likelihood ratio test and show that this LRT is equivalent to a t-test
weights of a certain model of fully loaded gravel trucks follow a normal distribution with mean μ-6.4 tons and standard deviation ơ-0.3 ton. What is the probability that a fully loaded truck of this model is 7. (a) (a) at most 6 tons? (b) at least 7 tons? (c) between 6 and 7 tons? We were unable to transcribe this image weights of a certain model of fully loaded gravel trucks follow a normal distribution with mean μ-6.4 tons and...
2. Suppose Yi,.. narei normal random variables with normal distribution with unknown mean and variance, μ and or. Let Y-욤 Σ;..x. For this problem, you may not assume that n is large. (a) What is the distribution of Y? (b) what is the distribution of z-(yo), (en, (n-) (c) what is the distribution of (n-p? (d) What is the distribution of Justify your answer. (e) Let Zi-(ga)' + (-)' + (yo)", z2 = (속)' + (n-e)' what is the distribution...
Suppose the random variable X follows a normal distribution with mean μ=53and standard deviation σ=10. Calculate each of the following. In each case, round your response to at least 4 decimal places. a) P(X<43)= b) P(X>63)= c) P(48<X<68)=
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution...
On the distant planet Cowabunga , the weights of cows have a normal distribution with a mean of 357 pounds and a standard deviation of 48 pounds. The cow transport truck holds 10 cows and can hold a maximum weight of 3910. If 10 cows are randomly selected from the very large herd to go on the truck, what is the probability their total weight will be over the maximum allowed of 3910? (This is the same as asking what...
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution...
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution...
Assume that class grades follow a normal distribution of mean μ = 75 and the variance σ2 =144. a) Find the probability that an individual's grade is greater than 81. b) What should be the interquartile range? c)Suppose you select at random (and independently) 10 students. What is the probability that only two of these students have a grade greater than 75? d) If you draw a sample of size n = 10 from the population of grades described in...