Given that X is a continuous random variable that has a uniform probability distribution, and 0 < X < 10: a. Calculate P(X<4) (to 3 significant digits). P(X < 4) = 3 b. Determine the mean (u) and standard deviation (o) of the distribution (to 3 significant digits). LL O || SUBMIT QUESTION SAVE PROGRESS

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. + Part (a) O Part (b) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = |0.98

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The random variable x is normally distributed with the given parameters. Find each probability. (Round to the nearest 1 000 th ) u=174, =o 20, P=(x<182) u= 69.4, o= 2.9,P (66 < x < 72)