Chat with us, powered by LiveChat STAT 3375Q-Suppose that you like to spend your Saturdays - Credence Writers
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Quiz 5NAME:1. (10 pts) Suppose that you like to spend your Saturdays at the beach with a metaldetector looking for gold. Let’s say that 1 in 10 metal objects buried in the sandis actually a piece of gold. Let X be the total number of times you have dugsomething up after you have dug up your first piece of gold this Saturday.Today you felt very lucky, but when you got to the beach you don’t get any goldon your first dig and get discouraged. Given that you will have to dig up at leasttwo things today at this point (we’ll assume you won’t leave until you dig up onepiece of gold), what is the probability that you will need to dig at least 4 timestoday in order to find your first piece of gold (i.e. What is P (X ? 4|X ? 2) ?12. (10 pts) The taste test for PTC (phenylthiocarbamide) is a favorite exercise inbeginning human genetics classes. It has been established that a single gene determines whether or not an individual is a “taster”. If 70% of Americans are“tasters” and you are in a class of 20 students, what is the distribution, mean, andvariance of X, the number of people in the class who can taste PTC (assumingthe class represents a random sample of the american population). When namingthe distribution of X, be sure to include the parameter values for that particulardistribution.

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