Use the binomial formula to calculate the following probabilities for an experiment in which n = 4 and p = 0.5. a. the probability that x is at most 1 b. the probability that x is at least 3 c. the probability that x is less than 1
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- A new soft drink is being market tested. It is estimated that 60% of consumers will like the new drink. A sample of 96 tasters tested the new drink. Q27 What is the probability that between 59% and 62% of tasters will indicate they like the drink? Your answer should be in % and have two digits after the period. So, if your answer is 50.023%, enter 50.02. Your Answer: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 = 0.5A food marketing institute found that 33% of households spend more than $125 a week on groceries. Assume the population proportion is 0.33 and a simple random sample of 476 households is selected from the population. What is the probability that the sample proportion of households spending more thatn $125 a week is less than 0.36? There is a _____________probability that the sample proportion of households spending more thatn $125 a week is less than 0.36. Round the answer to 4 decimal places.
- need asapA factory uses a specific machine to produce pieces. From previous data, we know that 97% of the time the machine is set up correctly. If this is the case, it produces 95% acceptable (non-defective) pieces. However, if it is not set up correctly, it produces only 40% of acceptable pieces. Q22 A piece produced by the machine is selected. What is the probability that the selected piece is non-defective? Your answer should be in % and have two digits after the period. So, if your answer is 50.002%, enter 50.00. Your Answer:Solve the following problems. 1. A bakeshop owner determines the number of boxes of hopia that are delivered each day. Find the mean of the probability distribution shown. Number of Boxes (X) Probability P (X) 35 0.10 36 0.20 37 0.30 38 0.30 39 0.10 2. The probabilities that a surgeon operates on 3, 4, 5, 6, or 7 patients in any day are 0.10, 0.20, 0.15, 0.30 and 0.25, respectively. Find the mean of the probability distribution using the formula. 3. Suppose your wallet contains ten P20 bills, five P50 bills, three P100 bills, one P500 bill, and one P1000 bill. Find the u of this distribution and interpret the result.
- Consider 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. 0.5715A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O a. O b. O C. O d. 0.4435 0.9548 0.0541 0.0452It has been found that on average, 7 cars use a garage in any given 10‐minute period. What is the probability that: Q.2.2.1 Four cars will use the garage in any given five‐minute period? Interpret your answer. Q.2.2.2 Less than two cars will use the garage in any given 10‐minute period? Interpret your answer. Q.2.2.3 More than two cars will use the garage in any given 10‐minute period? Interpret your answer.
- Suppose that a screening test diagnoses 90% of sick people positive and 90% of healthy people negative. Assume that 15% of those screened are sick. If a screened person is chosen at random, then the probability of having a negative diagnosis is: O a. 0.981 O b. 0.109 Oc. 0.0192 O d. 0.78 O e. 0.22Suppose that you are looking for a student at your college who lives within five miles of you. You know that 53% of the 132 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you. Find the probability it will take a. 4 of them until one says he or she lives within five miles of you. b. 7 of them until one says he or she lives within five miles of you. c. 12 of them until one says he or she lives within five miles of you.Use the binomial formula to calculate the following probabilities for an experiment in which n=4 and p= 0.55. a. the probability that x is at most 1 b. the probability that x is at least 3 c. the probability that x is less than 1 a. The probability that x is at most 1 is. (Round to four decimal places as needed.) b. The probability that x is at least 3 is (Round to four decimal places as needed.) c. The probability that x is less than 1 is - (Round to four decimal places as needed.)
