Question

An air defense system's interception success rate is estimated to be 90 percent. If 5000 interceptions were conducted, find the probability that the number of successful interceptions is within one standard deviation of the mean. Report only numerical value, keeping four decimal places (e.g., 0.xxxx). Hint: use only the binomial distribution.

Name: an air defense systems interception success rate is estimated to be 90 percent if 5000 interceptions were conducted find the probability that the number of successful interceptions is within 63678
Uploaded: 2022-06-09T16:54:10-08:00
Duration: 1 min 29 s
Channel: Ahmad Reda
Description: an air defense systems interception success rate is estimated to be 90 percent if 5000 interceptions were conducted find the probability that the number of successful interceptions is within 63678

          An air defense system's interception success rate is estimated to be 90 percent. If 5000 interceptions were conducted, find the probability that the number of successful interceptions is within one standard deviation of the mean. Report only numerical value, keeping four decimal places (e.g., 0.xxxx). Hint: use only the binomial distribution.

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ahmad Reda

06/09/2022

Step 1

The mean of a binomial distribution is given by the formula: mean = n * p, where n is the number of trials and p is the probability of success. In this case, n = 5000 (number of interceptions) and p = 0.9 (interception success rate). So, the mean = 5000 * 0.9 = Show more…

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An air defense system's interception success rate is estimated to be 90 percent. If 5000 interceptions were conducted, find the probability that the number of successful interceptions is within one standard deviation of the mean. Report only numerical value, keeping four decimal places (e.g., 0.xxxx). Hint: use only the binomial distribution.