The owner of a farmer's market was interested in determining how many oranges a person buys when they buy oranges. He asked the cashiers over a weekend to count how many oranges a person bought when they bought oranges and record this number for analysis at a later time. The data is given below in the table. The random variable x represents the number of oranges purchased and P(x) represents the probability that a customer will buy x oranges. Determine the variance of the number of oranges purchased by a customer. Round to two decimal places. 1 2 3 4 5 6 P(x) 0.05 0.19 0.20 0.25 0.12 0.10 A. 0.56 OB. 3.97 OC. 3.57 OD. 1.95 7 8 0.08 0 9 10 0 0.01

At a casino, one lucky player is blindfolded and allowed to pick 5 bills from a bowl containing 25 bills. The bowl contains 6 one hundred dollar bills, 3 fifty dollar bills, and the rest of the bills of various other denominations.   The probability is _________________ that exactly 3 one hundred dollar bills will be chosen.                     Find the variance for the number of one hundred dollar bills that can be chosen. Variance: ______________________

Find the  variance for the binomial distribution, P=0.87 and n= 32

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The weights of steers in a herd are distributed normally. The variance is 10,000 and the mean steer weight is 1100⁢lbs. Find the probability that the weight of a randomly selected steer is between 919 and 1180⁢lbs. Round your answer to four decimal places.

Delta limited the Chief Administrative Manager analyzed the number of incoming faxes. Afteran analysis, the manager determined the probability distribution of the number of pages per fax as follows:x1234567P(x)0.050.120.20.30.150.10.08Required:Compute the mean and the variance of the number of pages per fax.

34​% of likely U.S. voters think that the federal government should get more involved in fighting local crime. You randomly select six likely U.S. voters and ask them whether they think that the federal government should get more involved in fighting local crime. The random variable represents the number of likely U.S. voters who think that the federal government should get more involved in fighting local crime. Find the variance of the binomial distribution.   σ2=nothing   ​(Round to the nearest tenth as​ needed.)

Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (°F). x 19.8 15.3 20.4 18.1 16.2 15.5 14.7 17.1 y 89.4 73.2 95.3 86.1 78.8 75.2 69.7 82.0 x 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3           (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx =   Σy =   Σx2 =   Σy2 =   Σxy =   r =   (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and…

Fill in the blanks: Let X be the random variable with the following distribution: х: -2 3 5 P (X = x) : 0.5 0.3 0.2 Determine the variance of X.

Find the variance of x or the number of cups of coffee. (Do not round intermediate steps but round your final answer to 4 decimal places)