Answer:
A) 0.2g
Step-by-step explanation:
What is 8x-4y=20 in slope intercept form
1 answer:
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Answer:
The answers to the questions are
(a) P = 0.0176
(b) P = 0.5
(c) P = 0.0571
Step-by-step explanation:
The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true
The p value is given by
P ( = 185 when μ = 175)
z =
z( = 185) =
= 1.5811
Therefore the P ( = 185 when μ = 175) = P(z = 1.5811)
0.94295
The probability density function is
Therefore the probability is
= 0.0176
b) The type II error is given by
β = P(type II error) = P(Fail to reject the null hypothesis when it is false)
Therefore
β = P ( < 185 when μ = 185)
P, which gives
P(z<0) and β = 0.5
(c) For true mean foam height of 195 mm we have
β = P ( < 185 when μ = 195)
and P
Which gives P(z < -1.58)
From z table the probability is β = 0.0571
Answer:
1) Pr(all three) = 0.064
2) Pr(none) = 0.216
3) Independent event
Step-by-step explanation:
Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)
Where Pr = probability
This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure
Where p = success, q = failure
For n trials,
Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)
Pr (security) = 40% = 0.4
p = 0.4
q = 1-p = 1-0.4 = 0.6
Numbers selected at random = n = 3
See attachment for more details on the workings.
1) Probability all three of the selected homes have a security system = Pr(all three)
Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³
= 0.4×0.4×0.4
Pr(all three) = 0.064
2) Probability none of the three selected homes have a security system
= Pr(none)
Pr(none) = 1 × (0.4)^0 × (0.6)³
= 0.6³ = 0.6×0.6×0.6
Pr(none) = 0.216
3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.
