Using the following uniform density curve, answer the question. 12 1) What is th
ID: 2922798 • Letter: U
Question
Using the following uniform density curve, answer the question. 12 1) What is the probability that the random variable has a value greater than 3.3? If z is a standard normal variable, find the probability 2) The probability that z is less than 1.13 3) The probability that z is greater than -1.82 4) The probability that z lies between -1.10 and -0.36 Find the indicated value. 5) z0.36 Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1 6) Shaded area is 0.4013. Solve the problem. Round to the nearest tenth unless indicated otherwise. 7) Scores on a test are normally distributed with a mean of 68.9 and a standard deviation of 11.6. Find Ps1, which separates the bottom 81% from the top 19%. 8) A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50, Find P60 the score which separates the lower 60% from the top 40%. Find the indicated probability. 9) The diameters of bolts produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What percentage of bolts will have a diameter greater than 0.32 inches? Solve the problem. Round to the nearest tenth unless indicated otherwise. 10) Human body temperatures are normally distributed with a mean of 98.20 and a standard deviation of 0.62 Find the temperature that separates the top 7% from the bottom 93%. Round to the nearest hundredth of a degree.Explanation / Answer
1. Random variable has value greater than 3.3 = (8-3.3)/(8-0)
= 4.7/8 = 0.5875
2. P(Z < 1.13) = 0.8708
3. P(Z > -1.82) = 1 - P(Z < - 1.82)
= 1 - 0.0344
= 0.9656
4. P(-1.10 < Z < - 0.36) = P(Z < - 0.36) - P(Z < - 1.10)
= 0.3594 - 0.1357
= 0.2237
P.S - 4 parts are answered here. Please post the remaining questions separately
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