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- Q7. A random variable X with a mean of 2.5 follows an exponential distribution. Find the following probabilities: (a) P(X > 2.5), (b) P(X xo) = 0.05.Solve for E)to the information in question 1 and calculate the probability that less than 94% of the crde ATOte will be delivered on time. 1. 0.9082 2. 0.4082 3 06568 4 0.2486 5. 133
- 5.1.7 Five males with an X-linked genetio disorder have one child each. The random variable x is the number of children among the five who inherit the X-linked genetic disorder. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. PO O 0.033 0.157 2 0310 3. 0.310 4. 0.157 0.033 Does the table show a probabilty distribution? Select all that apply A. Yes, the table shows a probability distribution. B. No, not every probab tyis between 0 and 1.inclusive. No, the random variable Xs numbervalues are not 355ociated with probablities No. the random varable xis categorcalinstead of numerical. No the sum of all the probablities is not equaltto 1. Cick to select your answerS) and tren cexCheckAnSwer, 16. A statistically minded fraternity junior keeps records on how many girls he has to ask before one agrees to be his date for a Saturday football game. His school plays five home games and his five acceptances come on the 3rd, 6th, 4th, 2nd, and 9th girl he asks. Assume that the probability, e, that any girl he asks will accept his invitation is constant from girl to girl. Mind ML estimate of e.b. The lifetime X of a particular species is assumed to be exponentially distributed with mean 75 time units. Find the probability that a member of this particular species picked at random survives: i. more than 90 time units; less than 70 time units; between 70 and 85 time units. ii. iii. iv. Calculate Var(X).
- Dandelions have effects on crop production and lawn growth and are studied. In one region, the mean number of dandelions per square meter was found to be 10.8.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)= Find the probability of at least one dandelion in an area of 1 m².P(at least one) = Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=P(X≤2)=. You are given the following. 470 = 0.04 471 = 0.05 • deaths are uniformly distributed within cach year of age. Calculate the probability that (70) will die between ages 70.5 and 71.5. a. Less than 0.0432 b. At least 0.0432, but less than 0.0437 C. At least 0.0437, but less than 0.0442 d. At least 0.0442, but less than 0.0447 e 0.0447 or moreMatch the following questions with the correct answers. A. 24 B. 0.0929 C. 2 D. 154 E. 3/4 F. 120 select select select select select select 1. If X220, the probability that a man aged x marries at time t from the present is 15dt/(t+x)2. Find the probability that a person aged 20 eventually marries. 2. If X is the number of 6's which appear when 72 dice are thrown, what is the expected value of X²? 3. Suppose only 12% of men in ancient Greece were honest. What is the probability that the first honest man Diogenes Jencounters will be the third man he meets? 4. Find the expected value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 5. Find the variance value of the number of times one must throw a die until the outcome 1 has occurred 4 times? 6. If for a Poisson distribution 2f(0)+f(2)=2f(1), what is the variance of the distribution?