The cost C(Q) of producing a quantity Q of widgets to satisfy demand is C(Q) = 4000+20Q, but the quantity demanded is random. If the mean and standard deviation of demand are 500 and 200, respectively, then what are the mean and standard deviation of costs?

The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors is as follows.   x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5   6 0.220 7 0.136 8 0.055 9 0.015 10 0.001   21 The expected value of the number of automobiles sold is, a 5.20         b 5.31         c 5.42         d 5.53

Prospect Z = ($1, 0.30 ; $18, 0.40 ; $25, 0.30) What is the standard deviation of prospect Z? (Note: The answer may not be a whole number; please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)

St. John's Brewery (SJB) is getting ready for a busy tourist season. SJB wants to either increase production or produce the same amount as last year, depending on the demand level for the coming season. SJB estimates the probabilities for high, medium and low demands as 0.32, 0.31, and 0.37 respectively, on the basis of the number of tourists forecasted by the local recreational bureau. If SJB increases production, the expected profits corresponding to high, medium and low demands are $800,000, $400,000 and $100,000 respectively. If SJB does not increase production, the expected profits are $550,000, $325,000 and $200,000 respectively. (NOTE: Text answers are case sensitive and the value of different parts of this question is indicated in square brackets [*/*]) Construct a decision tree for SJB. On the basis of the EV, what should SJB do? What is the expected value of increasing production? What is the expected value of not increasing production? Should SJB increase production (enter…

A film processing service monitors the quality of the developing process with light-sensitive equipment. The accuracy measure is a number with a target value of zero. Suppose that an X- chart with subgroups of size five is used to monitor the process and the control limits are UCL = 1.5 and LCL = -1.5. Assume that the estimate for the process mean is zero and for the process standard deviation is 1.30.a. What is the value of α for this control chart?b. Find the UCL and LCL based on three-sigma limits.c. Suppose that the process mean shifts to 1. What is the probability that the shift is detected on the first subgroup after the shift occurs?

(c) The price of a 14 oz cup of coffee in Sunshine cafés is a random variable C with an expected value of $3.00 and a standard deviation of $1. At any given shop, the price doesn't vary, but it varies independently across shops. Tomorrow morning, you plan to buy two 14 oz cups of coffee from the same shop while your friend plans on buying two from two different shops. (i) How much do you expect to spend on coffee tomorrow and with what standard deviation? (ii) How much do you expect your friend to spend and with what standard deviation? (iii) Who do you think has a better idea and why?

Given that Z is distributed as a standard normal random variable, what is Pr(Z > -0.04)? Round your answer to three decimal places, e.g. 0.251.

The probability distribution for the number of automobiles sold during a day (x) at Bob Iron Motors isas follows. x f(x) 0 0.001 1 0.007 2 0.034 3 0.099 4 0.188 5   6 0.220 7 0.136 8 0.055 9 0.015 10 0.001 17 The probability that 5 automobiles will be sold is,a 0.232b 0.244c 0.257d 0.271

please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly

A bakery has determined that the number of loaves of its white bread demanded daily has a normal distribution with mean 7,200 loaves and standard deviation 300 loaves. Based on cost considerations, the company has decided that its best strategy is to produce a sufficient number of loaves so that it will fully supply demand on 94% of all days. a. How many loaves of bread should the company produce? b. Based on the production in part (a), on what percentage of days will the company be left with more than 500 loaves of unsold bread?