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- what would be the most appropriate probability distribution for each of the following random variables, justify you answers. 1. Whether a tumor is benign or malignant. 2. Number of people with a malignant tumor out of 10 patients with tumor. 3. Size of tumors.I need the answer as soon as possible1. Identify and explain the three defining characteristics of the normal probability distribution 2. What other famous name is the normal probability distribution know by? 3. Describe the role the following play in the normal probability distribution: Mean (mu) а. b. Standard deviation (sigma) Z-score c. d. Write the formula for the Z-score
- From this normal probability plot,what pattern is seen in the plot. A.The points form a distinct "S" pattern along a line through the plot's origin. B.The points are evenly distributed across the plot. C.The points are generally clustered along a straight line through the plots's origin. D.The points form a distinct curve from the bottom left to the top right of the plot.The agency for healthcare research and quality reported that 53% of people who had coronary bypass surgery in a recent year were over the age of 65. Fifteen coronary bypass patients are sampled. Let r= the number of coronary bypass patients over the age of 65. a. What is the mean of this binomial probability distribution? b. What is the variance? c. What is the standard deviation? d. Using the chebyshev's theorem for a minimum percentage of 75%, would it be unusual for 13 coronary bypass patients to be over the age of 65?NOTE: please follow the step in the given lesson below
- An electronic company manufactures electrical resistors with Rave = 40 Q and SD= 2, same unit. What is the probability that the manufactured products will exceed 43 Q? Assume normal distribution. O 17.24% O 82.76% O 93.32% O 6.68%Assume that the normal distribution can be used to approximate the following binomial distribution question. A survey of adults found that 6% say their favorite sport is auto racing. You randomly select 400 adults and ask them to name their favorite sport. Complete parts (a) and (b). (a) Find the probability that the number of people who say auto racing is their favorite sport is at most 30. (b) Find the probability that the number of people who say auto racing is their favorite sport is more than 33. (Round to four decimal places as needed.)For a t-distribution with 13 degrees of freedom, what is the probability that a t-score will be greater than 1.771? O A. 0.025 O B. 0.075 O C. 0.062 O D.0.1 O E. 0.05
- The following table represents a Discrete Probability Distribution for the number of days it takes John’s Garage to repair vehicles for its customers. Number of days to repair a vehicle 1 2 3 4 5 6 7 Probability 26.7% 33.6% 15.8% 13.7% 6.3% 2.4% 1.5% With the aid of a table, calculate the following mean variance, and standard deviationA random variable which can take any value in an interval is called a a. continuous random variable. O b. discrete random variable. O c. statistic. O d. outcome.Suppose the random variable Z follows a standard normal distribution. Then the probability is 0.20 that Z is less than the value O a. 0.84 O b. -0.84 O c. - 0.80 Od. 0.80