Solution 1 1 Pea plants contain two genes for seed color each of which may be Y for yellow seeds or G for green seeds Plants that contain one of each
Solution Pea plants contain two genes for seed color each of which may be Y for yellow seeds or G for green seeds
Solution Pea plants contain two genes for seed color each of which may be Y for yellow
genes for seed color each of which may be Y for yellow seeds or G for green seeds Plants that contain one of each
Solution Pea plants contain two genes for seed color each of which may be
Y for yellow seeds or G for green seeds Plants that contain one of each
Solution Pea plants contain two genes for seed color each of
Solution Pea plants contain two
(Solution) 1 1) Pea plants contain two genes for seed color, each of which may be Y (for yellow seeds) or G (for green seeds). Plants that contain one of each

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Questions in the attachment and I think they fairly simple for stats experts.1) Pea plants contain two genes for seed color, each of which may be Y (for yellow seeds) or G (for green seeds). Plants that contain one of each type of gene are called heterozygous. According to the Mendelian theory of genetics, if two heterozygous plants are crossed, each of their oFspring will have probability 0.75 of having yellow seeds and probability 0.25 of having green seeds. a) Out of 100 oFspring of heterozygous plants, what is the probability that more than 30 have green seeds? And, what is the probability that between 30 and 35 inclusive have green seeds? [Hint: apply the normal distribution to the binomial distribution and continuity correction] 2 Consider a fair coin. a) What is the probability of obtaining exactly 3 heads if a fair coin is ±ipped 6 times? b) What is the probability of obtaining at least 4 head if a fair coin is ±ipped 17 times. 3 Consider a sample n x x ,..., 1 and let c x y i i ? ? for , ,..., 2 , 1 n i ? where c is some speci²ed number. Give a general argument to show that the sample variance of the s y i ' is identical to that of the s x i ' . [Hint: How are y and x related? When trying to ²nd a general argument to show that the sample variance of the s y i ' is identical to that of the s x i ' , use the variance formula ? ? 1 2 2 ? ? ? ? n y y s i y .] 4 A random variable x has an exponential distribution with parameter ? ; that is, its density function is ( ) x f x e ? ? ? ? for x > 0. Express the interquartile range of the distribution in terms of the parameter ? . [Hint: You will have to ²rst express the lower and upper quartiles of the distribution in terms of the parameter ? .] 1

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