10. In a long production run, 1% of the components are normally found to be defective. In a random sample of 10 components, determine the probability that there will be fewer than 2 defectives in the sample.
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10. In a long production run, 1% of the components are normally found to be defective. In a random sample of 10 components, determine the
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- A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.035. The motors defects are independent random variable. The probability that exactly two motors are defective given that the number of defective motors is two or fewer is: Select one: а. 0.4773 b. 0.5846 c. 0.5364 d. 0.3127 е. 0.404ion 16.84. An urn contains 3 one-rupee coins, 5 fifty paise coins and 12 ten-paise coins. If a coin is drawn at random, find the expected value of the draw, assuming that all coins are equally likely.In a club consisting of 8 males and 4 females, 5 members will be selected to represent the club in a seminar-workshop. If the random variable F represents the number of female members selected, what is P(F > 2)?
- 11ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File3. A robot is going to attempt the same task 100 times. Each time it tries, it will either succeed or fail to succeed in completing the task. Say the robot does not learn from its tries, so each attempt at the task is independent of the others. On a given attempt, the probability of the robot succeeding is 0.85. Let X be the random variable of the number of times this robot is able to succeed in completing the task. part 1. What is the probability that the robot succeeds less than or equal to 80 times? (it is only for part a; no need to show work) a. Use the compliment rule to reduce the number of operations needed in part 1. Find another way to compute the needed probability. b. Now say two robots are going to attempt the same task. The robots operate independently from one another. What is the probability that both robots succeed less than or equal to 80 times out of 100? c. Now say the single robot begins to learn the more it tries. That is to say, it gets better at succeeding at…
- After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).A game is played by throwing 3 dice. You will win in this game if the summation of the score of these 3 dice is 3, 4, 17, 18. What is the variance of your expected values?59
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