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Consider the probability that more than 99 out of 157 software users will not call technical support. Assume the probability that a given software user will not call technical support is 56%. Approximate the probability using the normal distribution

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Final answer:

To calculate the probability that more than 99 out of 157 software users will not call technical support, you can use the normal distribution. The probability is approximately 0.191, or 19.1%.

Step-by-step explanation:

To calculate the probability that more than 99 out of 157 software users will not call technical support, we can use the normal distribution. First, we need to find the mean and standard deviation. The mean is the number of users multiplied by the probability of not calling support, which is 157 * 0.56 = 87.92. The standard deviation is the square root of the number of users multiplied by the probability of calling support, which is sqrt(157 * 0.56 * 0.44) = 6.09. Next, we can use the normal distribution calculator or software to find the probability of more than 99 users not calling support.

Using the calculator, we can input the values into the normalcdf function: normalcdf(99, E99, 87.92, 6.09). This gives us a probability of approximately 0.191, or 19.1%. Therefore, the probability that more than 99 out of 157 software users will not call technical support is approximately 0.191, or 19.1%.

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