01:16O Interactive MathematicsSolution1. What is the probability that 5 is greater than xin a normally distributed data given that themean is 6, and the standard deviation is 0.7.M= 0.07636P(X < 5) the first step is to find the z- score. Wefind that using the formula above.-z = (x − µ (mean)) / o (standard deviation) thismeans thatFor P(X<5), z = (5-6)/0.7-1/7 = -1.42857 which is rounded up to - 1.43Now in the table, we will look for the value of-1.4 under 3Ad7.00KB/SThe normal return for the z-score is usually lessthan, and because the function is asking for theprobability of x being less than 5, this will be ourfinal answer.s612. What is the probability that x is greater than4.5 in a normally distributed data given that themean is 6, and the standard deviation is 0.7.1DEVICE1DEVICEMcAfeeDX

Let X be the normal distribution with mean 6 and standard deviation 0.7. X~N(μ=6,σ=0.7)

Answered: 1. What is the probability that 5 is…

A First Course in Probability (10th Edition)

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The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
I have provided the answer. Please explain the answer.I
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Please solve all the questions. 1. Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. the probability that Z is more than 0.87 is ? 2. Given that X is a normally distributed random variable with a mean of 50 and a standard deviation of 2, find the probability that X is between 46 and 54 ? 3. Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is more than 0.77 is ? 4. The length of certain items follow a normal distribution with mean A cm and standard deviation 6 cm. it is known that 4.78% of the items have a length grater than 82 cm. find the value of the mean ? 5. Two draws are made at random without replacement from a box with four numbers: 1, 2, 3, 4. Find the probability that the second draw will be a 3 . 6. For some positive value of X, the probability that a standard normal variable is between 0 and +2X is 0.4452. the value of X is 7. A fair die is tosses twice, and and the up…
B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
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1. What is the probability that 5 is greater than in a normally distributed data given that the mean is 6, and the standard deviation is 0.7. Solution P(X < 5) the first step is to find the z- score. We find that using the formula above.