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. What type of distribution can be used for the random variable X? What are it’s parameters? b. What is the expected number of times the robot will succeed? What is the variance? c. What is the probability that the robot succeeds less than or equal to 80 times? Write out the theoretical form and use R to compute the numerical value.

Let random variable QQ represent the number of employees who work at a certain restaurant on a given day. The following table shows the probability distribution of the random variable QQ. Which of the following claims is best supported by the table?   The most likely number of employees who work on a given day is 24. A The mean number of employees who work on a given day is equal to the median number of employees who work on a given day. B The mean number of employees who work on a given day is greater than the median number of employees who work on a given day. C The mean number of employees who work on a given day is less than the median number of employees who work on a given day. D On a given day, the number of employees who work at the restaurant occurs with equal probabilities.

Suppose that in a small village about 90% of the residents are of Hawaiian ancestry. Let n=1, 2, 3,… represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. Write the expression for the probability distribution of the random variable n.

The probability is 0.35 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In nine traffic​ fatalities, find the probability that the​ number, Y, which involve an intoxicated or​ alcohol-impaired driver or nonoccupant is a. exactly​ three; at least​ three; at most three. b. between two and four​, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y.     a. The probability that exactly three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is enter your response here. ​(Round to four decimal places as​ needed.) Part 2 The probability that at least three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is enter your response here. ​(Round to four decimal places as​ needed.) Part 3 The probability that at most three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is enter your…

The probability is 0.45 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In seven traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is (Round to four decimal places as needed.) ols Enter your answer in the answer box and then click Check Answer. 6 parts remaining Clear All Check Answer 70 MacBook Air

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).

The probability is 0.35 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In six traffic​ fatalities, find the probability that the​ number, Y, which involve an intoxicated or​ alcohol-impaired driver or nonoccupant is a. exactly​ three; at least​ three; at most three. b. between two and four​, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. Only typing answer Please explain step by step

This C The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a standard deviation of 40 grams. Use the empirical rule to determine the folowing (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 230 grams and 390 grams? (c) What percentage of organs weighs less than 230 grams or more than 390 grams? (d) What percentage of organs weighs between 270 grams and 430 grams? (a) and grams (Use ascending order.) (b)% (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to two decimal places as needed.) Enter your answer in each of the answer boxes. e Type here to search 近

The probability is 0.4 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In six traffic​ fatalities, find the probability that the​ number, Y, which involve an intoxicated or​ alcohol-impaired driver or nonoccupant is a. exactly​ three; at least​ three; at most three. b. between two and four​, inclusive. c. Find and interpret the mean of the random variable Y.   a. The probability that exactly three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is nothing. ​(Round to four decimal places as​ needed.)   The probability that at least three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is nothing. ​(Round to four decimal places as​ needed.)   The probability that at most three traffic fatalities involve an intoxicated or​ alcohol-impaired driver or nonoccupant is nothing. ​(Round to four decimal places as​ needed.)   b. The probability that between two and four…

Suppose that a box contains 6 cameras and that 3 of them are defective. A sample of 2 cameras is selected at random without replacement. Define the random variable x as the number of defective cameras in the sample. Write the probability distribution for x. What is the expected value of x?