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3. According to a survey about how workers get to work in Wyoming, 77 percent of workers get to work by driving alone and the remaining get to work by carpooling, walking, or other means of transportation. Suppose a sample of 150 Wyoming workers is selected at random. Let the random variable D represent the number of workers in the sample who get to work by driving alone. a) Determine the probability that exactly 120 workers in a sample of 150 get to work by driving alone. b) Find the probability that at least 100 workers in a sample of 150 get to work by driving alone. 

          3. According to a survey about how workers get to work in Wyoming, 77 percent of workers get to work
by driving alone and the remaining get to work by carpooling, walking, or other means of
transportation. Suppose a sample of 150 Wyoming workers is selected at random. Let the random
variable D represent the number of workers in the sample who get to work by driving alone.
a) Determine the probability that exactly 120 workers in a sample of 150 get to work by driving
alone.
b) Find the probability that at least 100 workers in a sample of 150 get to work by driving alone.
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3. According to a survey about how workers get to work in Wyoming, 77 percent of workers get to work by driving alone and the remaining get to work by carpooling, walking, or other means of transportation. Suppose a sample of 150 Wyoming workers is selected at random. Let the random variable D represent the number of workers in the sample who get to work by driving alone. a) Determine the probability that exactly 120 workers in a sample of 150 get to work by driving alone. b) Find the probability that at least 100 workers in a sample of 150 get to work by driving alone.

Added by Tammy B.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Transcript

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00:01 Hey there, welcome to numerate.
00:03 We are looking at a problem here where we have our probability of 0 .77, representing as the proportion of workers that travel alone to work.
00:20 So this is 0 .77.
00:22 So they commute alone where the remaining carpool, walks, or have another means of transportation.
00:29 And we're given a sample size here of 150.
00:36 So for this, we're trying to find the probability that exactly 120 workers get to work by driving alone.
00:44 This follows a binomial distribution here because we're given independent events and two outcomes.
00:53 So we have combinations and x, multiply by p, raised to the x, multiply by q, raised to the x, multiply by q, raised to the n minus x.
01:03 So we want to see that exactly 120 workers commute to work alone.
01:09 So we have our n as 150, our x is 120 times our probability of 0 .77 raised to the x, which is 120, times q.
01:24 So when we reach to q is basically 1 minus p.
01:28 So 1 minus 0 .77 is .23.
01:32 Raised to 150 minus 120 is 30...
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