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3 years ago

Two events, A and B, are independent. If P(A) = 0.3 and P(B) = 0.2, what is P(A and B)?

Mathematics

2 answers:

Flura [38]3 years ago

6 0

Answer:0.06

Step-by-step explanation:

As the two events are independent

Therefore

$P(AandB) =P(A)\times P(B)$

As it is given that $P(A) = 0.3$ and $P(B) = 0.20$

Putting these value we get

$P(AandB) =0.3\times0.2 = 0.06$

$P(AandB)= 0.06$ is the required answer

zalisa [80]3 years ago

6 0

Answer:

0.06

Step-by-step explanation:

just got it right on edge

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Answer:

a) [24.114,29.2858]

b) Since 30 is not in the 95% confidence interval, there is a 95% probability that 30 is not the true mean WEP

Step-by-step explanation:

The 95% confidence interval is given by the interval

$\bf [ \bar x-z^*\frac{s}{\sqrt n}, \bar x+t^*\frac{s}{\sqrt n}]$

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$\bf \bar x$ = 26.7 is the sample mean

s = 17.7 is the sample standard deviation

n = 180 is the sample size

Since the sample size is big enough, we can use the Normal N(0,1) to compute $\bf z^*$ and it would be 1.96(*) (a value such that the area under the Normal curve outside the interval [-z, z] is 5% (0.05))

and our 95% confidence interval is

$\bf [26.7-1.96*\frac{17.7}{\sqrt{180}}, 26.7+1.96*\frac{17.7}{\sqrt{180}}]=\boxed{[24.114,29.2858]}$

(*)

This value can be computed in Excel with

NORMINV(1-0.025,0,1)

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NORMINV(1-0.025;0;1)

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