The probability that a patient recovers from a rare blood disease is 0.4 and 10 people are known to have contracted this disease. Let X denote the random variable which denotes the number
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The probability that a patient recovers from a rare blood disease is 0.4 and 10 people are known to have
contracted this disease. Let X denote the random variable which denotes the number of patient who survive
from the disease.
1. Plot the probability mass
2. Plot the cumulative distribution function (cdf) of X.
3. What is the probability that at least 8 survive, i.e., P{X ≥ 8}?
4. What is the probability that 3 to 8 survive, i.e., P{3 ≤ X ≤ 8}?
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- Three fair dice are rolled. Let the random variable X be the number of die that are showing a roll of 1. Complete the probability distribution table. X P(X=X 0 1 2 3 Find the mean of this probability distribution E(X)=Open the Excel file GSB 519 Additional Years of Life for Males. The random variable x =.5, 1.5, 2.5,…..,110.5, where x denotes additional years of life beyond age zero. The second column shows the probability that each specific value of x occurs. This column contains the probability mass values, f(x). For example, the probability that a new-born male baby will live 20.5 years (not less or not more) is .00133349, i.e., f(20.5) = .00133349. Find the following properties of the random variable x. a. mean b. median c. mode d. variance e. standard deviation f. skewness g. kurtosis h. coefficient of variation i. Find the value of the distribution function F(x) when x = 65.5. j. How much total probability is contained within two standard deviations of the mean? [You should use Excel in order to avoid hand calculations. However, do not use Excel commands like AVERAGE or STDEV; you will get incorrect answers if you do.] Addition Years of Life Probability of Additional Years Beyond Age…Assume that the probability of a being born with Genetic Condition B is p=17/60. A study looks at a random sample of 1146 volunteers. 4 Find the most likely number of the 1146 volunteers to have Genetic Condition B. (Round answer to one decimal place.) P = Let X represent the number of volunteers (out of 1146) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) 0= Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value p+20. Enter answer as an interval using square-brackets only with whole numbers. usual values= Question Help: Submit Question Jump to Answer Written Example Message instructor 44°F Clear W S 3 E D 4 Q Search R LL T V G Y 00 H J
