8) Scores on an exam have a normal distribution with a mean of 90 and a standard deviation of 11. a) Find the probability that a person would score above 96. First enter the z score (2 decimals) and second enter the probability (3 decimals.) 0.55 0.291

Q: According to Money magazine, Maryland had the highest median annual household income of any state in…

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A: Given that.   X~N( μ , ?)   μ=31000 , ?=3000   Z-score =( x - μ )/?

Q: Assume that adults have IQ scores that are normally distributed with a mean of u= 105 and a standard…

A:

Q: The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6…

A: Mean=M=6, Standard deviation=S=3X~N(M=6, S=3)

Q: P(X 37.2) %3D

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A: Population mean, Population standard deviation,

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Q: Find the probability that the reading is less than 3.81

A: Let X denote the reading of thermometer. Given that X follows N(mean = 0, SD = 1)

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Q: a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as…

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Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!