Expert answer:STAT200 University of Maryland Week 3 Probability


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STAT 200 Week 3 Homework Problems
4.1.4 A project conducted by the Australian Federal Office of Road Safety asked people about their
cars. One question asked the reason that a person chooses a given car, seen in table #4.1.4 (“Car
preferences,” 2013).
Table #4.1.4: Reason for Choosing a Car
Find the probability a person chooses a car for each of the given reasons.
In the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00.
a.) Find the probability of winning if you pick the number 7 and it comes up on the wheel.
b.) Find the odds against winning if you pick the number 7.
c.) The casino will pay you $20 for every dollar you bet if your number comes up. How much
profit is the casino making on the bet?
Suppose you have an experiment to flip a coin three times. You then count the number of heads.
State the random variable.
Write the probability distribution for the number of heads.
Draw a histogram for the number of heads.
Find the mean number of heads.
Find the variance for the number of heads.
Find the standard deviation for the number of heads.
Find the probability of having two or more number of heads.
Is it unusual to flip two heads?
5.2.4 Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find
these probabilities using a Binomial Table, or a calculating device:
a) P(x = 1)
b) P(x = 5)
c) P(x = 3)
d) P(x ≤ 3)
e) P(x ≥ 5)
f) P(x ≤ 4)
Approximately 15% of all people are left-handed. Consider a grouping of fifteen people.
State the random variable.
Write the probability distribution.
Draw a histogram.
Describe the shape of the histogram.
Find the mean.
Find the variance.
Find the standard deviation.

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