The sample space of a random experiment is the set of positive real numbers, S={x | x>0}. Define events A and B as A={x | x > 40} and B={x | x < 65}. Describe each of the following events: a) B' b) ANB
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Q: The sample space of a random experiment is the set of positive real numbers, S={x | x>0}. Define…
A: Given data Sample space S = {x|x>0} Event A ={x|x>40} Event B = {x|x<65}
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Q: a) A' b) AUB
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- The sample space of a random experiment is the set of positive real numbers, $={x 1 x >0} Define events A and B as A={x | x > 40} and B={x | x < 65). Describe each of the following events: a) A' b) AUBCards are picked sequentially without replacement from a well-shuffled deck of 52 cards until either all SPADES are found or all CLUBS are found. Let X denote the number of cards picked. Find E(X) using indicator random variables.36) The time X needed to complete a final examination in a particular College Course is normally distributed with a mean of 60 minutes and standard deviatation of 10 minutes. The Probability of completing The exam in less than 70 minutes. is A) 0.9655. B)0, 1387 C) 0.8413 D) 0.0345
- 16. For a recent period of 100 years, there were 530 Atlantic hurricanes a) State the distribution, the parameters (for each case) and the support of the distribution. b.) Find the probability that over a period of 2 years there are fewer than 5 hurricanes. c.) Find the probability that over a 5 year period there are 10 hurricanes. d.) Find the probability that at least 2 hurricanes happen in a year.The sample space of a random experiment is the set of positive real numbers, $={x 1 x >0} Define events A and B as A={x | x > 40} and B={x | x < 65). Describe each of the following events: a) A' b) AUBn a big university with over 10,000 students, 20% of all students work full time. A random sample of 100 students is selected from the university. Let X denote the number of students who work full time in the sample. b) Find ?(? = 20) c) Find ?(? ≤ 20) d) Find ?(? ≥ 20) Can you explain how you got them using work?
- Assume that the height, X, of a college woman is a normally distributed random variable with a mean of 65 inches and a standard deviation of 3 inches. Suppose that we sample the heights of 180 randomly chosen college women. Let M be the sample mean of the 180 height measurements. Let S be the sum of the 180 height measurements. All measurements are in inches. Using R and write the code out.a) What is the probability that X < 59? b) What is the probability that X > 59? c) What is the probability that all of the 180 measurements are greater than 59? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-180*65 >10? g) What is the standard deviation of S-180*65 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >65.41? k) What is the standard deviation of 180*M? l) If the probability of X > k is equal to .3, then what is k?Please help with this statistics problem. A traffic light at a certain intersection is green 45% of the time, yellow 10% of the time, and red 45% of the time. A car approaches this intersection once each day. Let X represent the number of days that pass up to and including the first time the car encounters a red light. Assume that each day represents an independent trial. A.) Find P(X=3). B.) Find P(X<=3) C.) Find ux. D.) Find 02/x.The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches. Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150-length measurements. Let S be the sum of the 150 length measurements.a) What is the probability that X < 9.3? b) What is the probability that X > 9.3? c) What is the probability that all of the 150 measurements are greater than 9.3? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-150*13.5 >10? g) What is the standard deviation of S-150*13.5 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >13.6? k) What is the standard deviation of 30*M? l) If the probability of X > k is equal to .8, then what is k?
- You have a sample of 500 individuals arranged in a 2 x 2 table. Of these, 220 have hypertension and 250 have Covid. there is overlap between covid and hypertension, but this is not given. which is best match for your expected values? 120,130,120.130 115, 135,110,140 110, 140, 110, 140 110,140,120,130A sample space has 3 outcomes, {O1, O2, O3}. Suppose E= {O1, O2}, and F= {O1, O3}. If Pr[E]= 0.67 and Pr[F]= 0.54, what is Pr[{O2, O3}]?
