“Chief Grill” is a local restaurant, its annual data shows that the av

Coroware

Coroware

Answered question

2021-12-04

“Chief Grill” is a local restaurant, its annual data shows that the average sale of chicken steaks is 1200 serving per month with a standard deviation of 102. If the data is normally distributed; calculate the probability of sale of chicken steaks in the next month will be:
1. less than 1000 servings
2. more than 1400 servings
3. between 1100 to 1300 serving

Answer & Explanation

Antum1978

Antum1978

Beginner2021-12-05Added 15 answers

Step 1
Given,
Mean, μ=1200
Standard deviation, σ=102
The data is normally distributed.
We have Z=xμσ
Step 2
1) less than 1000 servings:
P(X<1000)=P(xμσ<10001200102)
=P(Z<1.96)
=0.0250
2) more than 1400 servings:
P(X>1400)=1P(X1400)
=1P(xμσ14001200102)
=1P(Z1.96)
=10.97500
=0.025
3) between 1100 to 1300 serving:
P(1100<X<1300)=P(11001200102xμσ13001200102)
=P(0.98<Z<0.98)
=P(Z<0.98)P(Z<0.98)
=0.836460.16354
=0.67292

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