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Title: Probability Distribution Post by: RioNii on Jan 31, 2023 Instructions:
a) Identify the type of probability distribution shown in the problem: binomial, hypergeometric, poisson etc. b) Identify the given in the problem. c) Solve for the probability. 4) The length of time, L hours, that a phone will work before it needs charging is normally distributed with a mean of 100 hours and standard deviation of 15 hours. Find the probability that a randomly selected phone will work greater than 127 hours before it needs charging. Title: Re: Probability Distribution Post by: bio_man on Jan 31, 2023 This is a normal distribution model:
\(f\left(x\right)=\frac{1}{\sigma \sqrt{2\pi }}e^{-0.5\left(\frac{x-\mu }{\sigma }\right)^2}\) Quote The length of time, L hours, that a phone will work before it needs charging is normally distributed with a mean of 100 hours and standard deviation of 15 hours. Find the probability that a randomly selected phone will work greater than 127 hours before it needs charging. \(\mu\) = 100 \(\sigma\) = 15 x = 127 \(z=\frac{127-100}{15}=\frac{27}{15}\) P(x>127) = 1 - P(x≤127) = 1 - (27/15) Using your calculator: normalcdf(-999,127,100,5)= 1 - .964 = .036 |