Find the probabilities for each,using the standard normal distribution P(0 < z < 95) P(−23 < z < 0) P(z > 82) P(z < −51). kindly solve all parts
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- P(0 < z < 95)
- P(−23 < z < 0)
- P(z > 82)
- P(z < −51). kindly solve all parts
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- Assume the random variable x is normally distributed with mean µ = 88 and standard deviation o = 4. Find the indicated probability. P(78Assume the random variable x is normally distributed with mean μ = 86 and standard deviation o=4. Find the indicated probability. P(x<81) P(x<81)= (Round to four decimal places as needed.)An Assume the random variable x is normally distributed with mean p=82 and standard deviation o=4. Find the indicated probability.P(x<80)P(x<80)=(Round to four decimal places as needed.)Assume the random variable x is normally distributed with mean µ = 85 and standard deviation o = 4. Find the indicated probability. P(x<77) P(x<77) = (Round to four decimal places as needed.)You obtain 336 successes in a sample of size n1=391n1=391 from the first population. You obtain 419 successes in a sample of size n2=472n2=472 from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.What is the test statistic for this sampleFor a normal distribution with a mean of µ = 500 and a standard deviation of σ = 25, find each of the following probabilities: (a) p (X< 512) (b) p(515 < X < 530)Assume the random variable x is normally distributed with mean µ = 85 and standard deviation o=4. Find the indicated probability. P(x < 80) P(x <80) = (Round to four decimal places as needed.)For a binomial probability distribution, n = 150 and p = 0.60. Let x be the number of successes in 150 trials. a. Find the mean and standard deviation of this binomial distribution. p = i and o? = i b. Find to 4 decimal places P(xs 68) using the normal approximation. P(xs 68) = i c. Find to 4 decimal places P(67Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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