Finding a Binomial ProbabilityDo this question: Use the information in Example 3 to find the probability that at most 49 juniors or seniors have a part-time job.Example 3:Suppose that a local high school conducted a poll and found that 41% of juniors and seniors had a part-time job. You are conducting a random survey of 149 juniors and seniors. What is the probability that at least 79 juniors or seniors have a part-time job? Solution Approximate the answer with a normal distribution having a mean of x = 149(0.41) F 61 and a standard deviation of o = √149(0.41)(0.59) 6. For this distribution, 79 is three standard deviations to the right of the mean. So, the probability that you will find at least 79 juniors or seniors at your high school that have part-time jobs is: P(x ≥ 79) = 0.0015How to find this probability? ​

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To find the probability that at most 49 juniors or seniors have a part-time job, we can use the cumulative distribution function (CDF) of a normal distribution with mean μ = 149 * 0.41 = 61.29 and standard deviation σ = √(149 * 0.41 * 0.59) = 5.65.

The CDF gives the probability that the random variable X is less than or equal to a given value. So, we want to find P(X <= 49), where X is the number of juniors or seniors with a part-time job.

Using a standard normal distribution table or a calculator with normal CDF function, we can find P(X <= 49) = CDF(49, 61.29, 5.65). The result of this calculation is the probability that at most 49 juniors or seniors have a part-time job.