The lengths of Atlantic croaker fish are normally distributed, with a mean of 10.4 inches and a standard deviation of 2.3 inches.  Let x be a random variable that represents the length of an Atlantic croaker fish. Suppose an Atlantic croaker fish is randomly selected.  Find the probability that length of the fish is between 11 inches and 12 inches.   A. 0.603   B. 0.138   C. 0.397   D. 0.153

The high temperature X (in degrees Fahrenheit) on January days in Columbus, Ohio, varies according to the Normal distribution with mean 21 and standard deviation 10. If a January day in Columbus is randomly selected, what is the probability that the high temperature is between 15 and 25 degrees? O a. 0.2743 O b. 0.6554 c. 0.6802 O d. 0.3811

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 140   lb and 191   lb. The new population of pilots has normally distributed weights with a mean of 145 lb   and a standard deviation of 27.7 lb . a. If a pilot is randomly​ selected, find the probability that his weight is between 140   lb and 191   lb.   The probability is approximately__________ . ​(Round to four decimal places as​ needed.)   b. The probability is__________ . ​(Round to four decimal places as​ needed.) c. Choose the correct answer below.     A. The normal distribution can be used because the finite population correction factor is small.   B. The normal distribution can be used because the mean is large.   C. The normal distribution can be used because the probability is less than 0.5   D. The normal distribution can be used because the original population has a normal distribution.

A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 4 inches. A random sample of 26 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that x is within 0.5 inch of the claimed population mean?

Assume that the probability of a being born with Genetic Condition B is p=110. A study looks at a random sample of 1037 volunteers.Find the most likely number of the 1037 volunteers to have Genetic Condition B.(Round answer to one decimal place.)μ=Let X represent the number of volunteers (out of 1037) who have Genetic Condition B. Find the standard deviation for the probability distribution of X.(Round answer to two decimal places.)σ=Use the range rule of thumb to find the minimum usual value μ−2⋅σ and the maximum usual value μ+2⋅σ Enter answer as an interval using square-brackets only with whole numbers. Make sure the end points are usual values that are actually within the range of usual values.usual values =

Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case​ below, draw a​ sketch, and find the probability of the reading.​ Between 1.50 and 2.25

The average salary for teachers is $50,000 with a std. deviation of $5,000. Find probability of randomly selecting a teacher that makes: between $35,000 and $45,000| b more than $45,000 per year a 0.167, 0.881 0.147 , 0.811 0.157, 0.841 0.137, 0.861

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…

4. Discrete probability distributions #1 You may calculate the answers of the following questions using the appropriate probability distribution function from the equations in your textbook. (You will need to read the questions first to determine the appropriate distribution.) However, you may also determine these answers by using the Distributions tool. Select the appropriate distribution from the dropdown box in the upper left-hand corner. Set the parameters accordingly, and select the radio button in the lower left-hand corner depending on whether you want the probability of a single outcome (left) or a cumulative probability (right). Who's so vain? A survey conducted by the American Association of Motor Vehicle Administrators (AAMVA) and Stefan Lonce, author of LCNS2ROM- License to Roam: Vanity License Plates and the Stories They Tell, reveals that Virginia motor vehicle owners are the vainest. Approximately 16% of Virginia license plates are vanity plates. Select a Distribution…

If X is a normally distributed random variable with a mean of 10 and standard deviation of 4, then the probability that X is between 6 and 16 is A. .9332 B. .7745 C. .6587 D. .0668 E. .8413