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- A random variable is normally distributed with and. Find the probability (i) that it will fall between 55 and 100, (ii) that it will be greater than 54.Suppose Y,,Y,,.,Y40 are iid from a geometric (p) distribution. . If p = 0.20, use the CLT to approximate the probability the sample sum T will be larger tł an 3000. (A biased coin has a 0.31 chance of coming up heads when flipped. Let X be the number of heads when we flip this coin 4 times. Question: Find P(X<2), that is, find the probability of obtaining less than 2 heads. You can round your answer to two decimal places after the decimal point, like 0.13 or 0.89. Winc Windo
- Jensen, arriving at a bus stop, just misses the bus. Suppose that he decides to walk if the (next) bus takes longer than 5 minutes to arrive. Suppose also that the time in minutes between the arrivals of buses at the bus stop is a continuous random variable with a U(4, 6) distribution. Let X be the time that Jensen will wait. a. What is the probability that X is less than 4.5 (minutes)? b. What is the probability that X equals 5 (minutes)? Note: A continuous random variable has a uniform distribution on the interval [a, b] if its probability density function fis given by f(x) = 0 ifx is not in [a, b] and f(x)=1/(B-a) for a ≤x≤ß. We denote this distribution by U(a, ß).احل (2) Question 4 Al dette red fir A buyer must decide whether or not to accept a shipment of 40 parts. The decision is based on inspecting a random sample of 6 parts, Suppose that 5 of the parts are defective. find 9 llo 17 a. The probability of accept the shipment (no defective parts) are found. X5 (b.)The probability of at least three defective parts are found.(X) c. Find the mean and standard deviation of number of defective parts.I need help with this question
- I REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN ONLY. I'LL UPVOTE DOWNVOTE IF HANDWRITTEN THANK YOU.X is the Binomial Random Variable which counts the number of students who passed an exam. If the class has 46 students and the probability that a single student passes the exam is 0.89, what is the mean (or expected value) of the distribution? Write answers correct to 4 decimal places. (Do not round to the nearest student). MCollege students are randomly selected in groups of three, the random variable x is the number in the group who say that they take one or more online courses. Determine ether 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 does the table show a probability distribution
