Answer:
(a) P(X>32.73) = 0.2912
(b) Out of 95 bottles, 28 would contain more than 32.73 oz of ale.
Step-by-step explanation:
(a) The amount of fill is normally distributed so we will calculate the z-score and then use it to find the probability using the normal distribution probability table.
Let the amount of fill be denoted by X. The z-score can be computed using the formula:
z = (X - μ)/σ
where μ = mean value of fill
σ = standard deviation of value of fill = √Variance
P(X>32.73) = 1 - P(X<32.73)
= 1 - P((X-μ)/σ < (32.73 - 32.7)/√0.003)
= 1 - P(z<0.55)
Using the normal distribution table in Appendix B, we can see the probability at z=0.55 is 0.7088. So,
P(X>32.73) = 1 - 0.7088
P(X>32.73) = 0.2912
(b) We are buying 95 bottles and we need to calculate how many of them contain more than 32.73 oz. For that, we will multiply the total number of bottles by the probability of finding more than 32.73 oz which we have calculated in (a).
95 * 0.2912 = 27.664
Rounding off to a whole number we get 28 bottles.
<u>Out of 95 bottles, </u><u>28 would contain more than 32.73 oz of ale</u><u>.</u>
Answer:
Step-by-step explanation:
300.364 us liquid gallonsgallons
I think the correct answer from the choices listed above is the third option. <span>If a statistic used to estimate a parameter is such that the mean of its sampling distribution is equal to the actual value of the parameter, then it is a biased estimator. Hope this answers the question.
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Step-by-step explanation:
Now for another
Hope it will help :)❤
Answer:
x = -5 , y = 10
Step-by-step explanation:
As given ,
a = ( x₁ , y₁ ) = ( -6, 7)
b = ( x₂ , y₂ ) = (-1, -3)
For a -b = ( x₁ - x₂ , y₁ - y₂ )
= ( -6 - (-1) , 7 - (-3) )
= ( -6 + 1 , 7 + 3 )
= ( -5 , 10 )
⇒ a - b = ( -5, 10 ) = ( x, y)
∴ we get
x = -5 , y = 10