For each experiment, determine whether events A and B are independent or dependent.
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Q: Are events A and B independent events?
A: We have given that P(A) = 0.18 P(B) = 0.20 P(A∩B) = 0.05
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Q: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).
A: The Special Multiplication Rule (for two independent event)
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Q: How do you show that two events are independent?
A: Two events A and B are said to be independent if P(A and B)= P(A)*P(B)
Q: Construct a probability distribution for the experiment and random variable. a. EXPERIMENT:…
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Q: Indicate whether the variable is a discrete or continuous random variable: how many candies are in…
A: The variable is a characteristic that can be measured. A discrete variable takes the finite…
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Q: Are the two events in each scenario mutually exclusive or not? Explain. d) Walking from home to…
A: If the occurrences of both events cannot occur same time, then the events can be called as mutually…
Q: Identify the two events. A study found that there is no relationship between being around car…
A: Given : A study found that there is no relationship between being around car batteries exposure and…
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Q: LuxuryCars sells imported cars. The owner has compiled the following information regarding the cars…
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Q: Stephen plays basketball. He makes free throw shots 53% of the time. Stephen must now attempt two…
A: given data P9make free throw shot) = p = 0.53 two free throws at random P(stephen makes second…
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A: Given, A B C D Total Order accurate 310 262 240 123 935 Order not accurate 40 50 35 20 145…
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A: It is given that the, During the summer semester, students can register for no more than three…
Q: A fair coin was tossed three times. Let x be the number of heads. Find the mean and variance o x
A: Given Coin is tossed three times.
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A: A B AB O Rh+ 54 48 25 23 150 Rh- 17 18 8 4 47 71 66 33 27 197 If one person is…
Q: Suppose bob flips a fair coin 100 times.Let X be the number of heads he gets.What is Variance of X?
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Q: To generate leads for new business, Gustin Investment Services offers free financial planning…
A: Given Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3,400, and…
Q: sk at the rate of 12 per minute(Poisson).Each server can handle 4.001 customers per minute(Poisson).…
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- About two events A and B, we know that A occurs with 32% probability and B with 15% probability. It is also known that both intersect at the same time with a probability of 10%. Examine whether A and B are independent events.Hypnosis. A sample of 100 people was separated into children and adults. The members of each group were randomly assigned to two different hypnosis exercises. The responses of each person were recorded at the completion of the experimentcording to a job website, each job opening on average attracted 251 résumés in 2016. The job market improved in 2017 compared to 2016, which means that more people will likely be switching jobs but also fewer nemploved workers remain in the job market. To find out which trend is stronger, a random sample of 20 employers in a region was taken. Each employer reported how many résumés they received in 2017 for each b opening. Their answers are shown in the accompanying table. Using a = 0.10, complete parts a through d. Click the icon to view the data on résumés received, a. State the null and alternative hypotheses. Determine the null hypothesis, Ho, and the alternative hypothesis, H,. Job Opening Data Ho: H = 251 * 251 210 208 (Type integers or decimals. Do not round.) 219 251 b. Does this sample provide enough evidence to suggest that the number of résumés that were received in 2017 has 207 185 270 220 Identify the critical value. 283 225 205 232 217 206 (Round to two decimal places as…
- José plays basketball. He makes free throw shots 43% of the time. José must now attempt two free throws. The probability that José makes the second free throw given that he made the first is 0.49. Is José's first free throw shot independent of his second free throw shot? There is not enough information to determine whether or not the two free throws are independent of each other. The two free throws are dependent on each other. O The two free throws are independent of each other. What is the probability that José makes both free throws? Round your answer to three decimal places.Q2/ Clothes manufacturing machine, the probability of appearing damaged products is 0.02. At the beginning of operation: 1. What is the probability that the 10th piece appearing damaged 2. Find mean and variance of the piece appearing damagedConstruct a probability distribution curve for the experiment and random variable. a. EXPERIMENT: Randomply picking 3 children in an orphanage with equal number of boys and girls to join a family. (B = boy ; G = girl) b. RV: Y which represents the number of girl to be picked.
- A local jam production company is confident that 60% of the population will like its new grapefruit jelly. If 200 persons taste the new grapefruit jelly, determine the number of persons who are expected to like it. From a random sample of 10 persons who tasted the new grapefruit jelly, calculate the probability that less than two will like it.Warren tosses 5 coins. Let A be the random variables representing the number of tails. Construct the probability distribution and draw the histogram.Ken has applied to both FSU and the UGA. He thinks the probability that FSU will admit him is 0.4, the probability that UGA will admit him is 0.5, and the probability that both will admit him is 0.1. What is the probability that Ken will not get into either school?