(d) P(μ-6 ≤ x
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Suppose x is a random variable best described by a uniform probability that
X~Uniform(2,4)
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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. 0.404A test of 100 motor is done to determine the defective motors. The probability that a motor is defective is 0.03. 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: a. 0.5364 b. 0.3127 C. 0.5846 d. 0.404 е. 0.4773In a particicular second hand store, 9 of the 42 cell phones sold will have some sort of a defect. If you randomly select two cell phones to purchase, what is the probability that BOTH of them have a defect?NOTE: this is a case of WITHOUT REPLACEMENT, since once you select one, that can't be chosen again for your second pick.(Give answer as a decimal correct to four decimal places.)probability =
- QUESTION 3 A wholesaler must decide how many computers to purchase before they know how many they will be able to sell to local retailers. The wholesaler purchases the computers for S300 each and sells them to retailers for $350 each. If the wholesaler is not able to sell them to a retailer then the wholesaler can return them to the manufacturer (for a refund of the S300 cost), but the wholesaler must pay $40 per computer that it returns to the manufacturer (in shipping, handling, and insurance costs). The following probability distribution describes the number of computers the wholesaler may possibly sell to local retailers: there is a 21% chance that they will sell 900 computers, a 56% chance that they will sell 1200 computers; otherwise, they will sell 1500 computers. What is the expected number of computers the wholesaler will sell? (please round your answer to 1 decimal place)A coin is tossed 4 times and gives four heads in a row. You say “I guess that the fifth toss will result into a head with a probability of 1.”Based on a survey, assume that 44% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.
- If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x < 7) for n = 15, p = 0.8 b. P(x ≥ 13) for n = 20, p = 0.3 c. P(x = 2) for n = 25, p = 0.5The accompanying data are from an article. Each of 309 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not. Male Female Hybrid 76 33 Not Hybrid 116 84 Suppose one of these 309 individuals is to be selected at random. Determine if the probabilities P(hybrid male) and P(male hybrid) are equal. If not, explain the difference between these two probabilities. O Yes, the probabilities are equal. No, the probabilities are not equal. The first is the probability that a hybrid Honda Civic owner is male, and the second is the probability that a male Honda Civic owner purchased a hybrid. O No, the probabilities are not equal. The first is the probability that a male Honda Civic owner purchased a hybrid, and the second is the probability that a hybrid Honda Civic owner is male.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. a. 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. Continuing with the situation in part e. with two independent robots. What is the probability that exactly one of them succeeds less than or equal to 80 times out of 100 ?
- The athletic department of a school has 13 full-time coaches, and 4 of them are female. The director selects two coaches at random from this group. The probability (to three decimal places) that neither of them is a female is:Suppose you just received a shipment of seven televisions. Three of the televisions are defective. If two televisions are randomly selected, compute the probability that both televisions work. What is the probability at least one of the two televisions does not work? The probability that both televisions work is (Round to three decimal places as needed.) The probability that at least one of the two televisions does not work is. (Round to three decimal places as needed.) DConsider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is selected from class I, then he has 10% chance to make an A. Assume that these probabilities for the class II and III are 15% and 20% respectively. If a student is selected randomly and has an A, what is the probability that he is from class III. Enter your answer to the nearest FOUR decimal places. 0.5715
