A farmer has 60 lbs of apples and120 lbs of potatoes for sale. The market price for apples​ (per pound) each day is a random variable with a mean of 0.8 dollars and a standard deviation of 0.3 dollars.​ Similarly, for a pound of​ potatoes, the mean price is 0.7 dollars and the standard deviation is 0.1 dollars. It also costs him 5 dollars to bring all the apples and potatoes to the market. The market is busy with​ shoppers, so assume that​ he'll be able to sell all of each type of produce at that​ day's price. Complete parts​ a) through​ d). Make sure to consider all necessary assumptions before calculating. ​a) Define your random​ variables, and use them to express the​ farmer's net income.     ​b) Find the mean.   The mean profit is nothing   dollars. ​c) Find the standard deviation of the net income.

Q: e number of milligrams (mg) of cholesterol in a cup of a certain brand of ice cream is 660 mg, the…

A: Given,   μ=660σ=35

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A:

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A:

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A: From the provided information, Mean (µ) = $12.25 Standard deviation (σ) = $2 Let X be a random…

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A: The provided information is  µ=75 σ=2 P(X>76) P(X>76)=P(X-µσ>76-752)=P(z>0.5)=0.3085The…

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A: Let "X" be the height of a certain age group of people in inches.

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A: Givenmean(μ)=30.23standard deviation(σ)=12.84

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A: Given Data Population Mean,μ = 49000 Population Standard Deviation,σ = 4500

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A:

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A:

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A: GivenMean(μ)=8.4standard deviation(σ)=1.8sample size(n)=38

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A:

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A: Here, µ = 263 and σ = 25.

Q: The birth weights of newborn elephants are Normally distributed with a mean of 160 pounds and a…

A:

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A: Z = x¯ - μσn~N(0,1)

Q: In a recent​ year, the scores for the reading portion of a test were normally​ distributed, with a…

A: Given that, Mean = 22.9 Standard deviation = 6.7

Q: The average number of milligrams (mg) of cholesterol in a cup of certain brand of ice cream is 660…

A: Step 1: Given: X~N(μ,σ)μ=660σ=35x=670

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A:

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A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33

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A: From the provided information, The degree of freedom = n1 + n2 – 2 = 70 + 50 – 2 = 118 As, the…

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A:

Q: he manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A:

Q: Proctor & Gamble reported that an American family of four washes an average of 1 ton (2000…

A: Introduction:Here, the suggested population mean, μ = 2,000 pounds.The population standard…

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A:

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A: Given  n1=50, X1bar=10, S1=3.5, n2=50,X2bar=7,S2=5.7 We want to test the hypothesis for difference…

Q: The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an…

A:

Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…

A: Consider, Population mean (µ) = 6.16 Population standard deviation (σ) = 0.14 Sample size (n) = 37

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A:

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A: It is given that mean and standard deviation are 54.8 inches and 2.74 inches, respectively.

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A:

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A: 1] Total number of questions (n)=50 2] Each question with 4 possible options. 3] Passing Mark 30%…

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A:

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A: Formula : Z =(X - μ)/σ

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A: Given,          Meanμ =60,000          standard deviation σ=28

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A:

Q: A desktop PC uses 120 watts of electricity per hour based on 4 hours of use per day. Assume the…

A: Given that mu = 120 , s.d = 6,n=500 p(x<106 ) =?  approximately how many will use less than 106…

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A:

Q: An electrical appliance made by company A has an average life of 2500 hours, with a standard…

A: Given : μ1 = 2500μ2 = 2300n1 = 300n2 = 200σ1 = 500σ2 = 800

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A: It is given than n=200 and p =0.12.

Q: What percentage of the class has a test score between 68 and 82? Approximately how many students…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Given,   Mean = 191 Standard deviation = 49

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A: Let, X=The photoresist thickness of wafers.  Given that X follows a normal distribution with…

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A: given data,  Mean (μ) = 10  S.D(σ) =10Let X be normally distributed random variable P(X≤15) = ?

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A: We are given with Normal Distribution.