Answer:
The probability that fewer than 30 buy a packet after tasting a free sample is approximately
B. 0.9938
Step-by-step explanation:
We have
p = 0.2
q = 1 - 0.2 = 0.8
n = 100
and we need to compute P(X<30). First we need to check if normal distribution can be used or not. If np>5 then we can use normal distribution to solve this problem.
np = 100*0.2 = 20 > 5.
So we can use the normal approximation to solve this problem.
μ = np = 20
σ = √(npq)
= √(100)(0.2)(0.8)
σ = 4
We know that z = (X - μ)/σ, So
P(X<30) = P[(X-μ)/σ < (30 - μ)/σ]
= P(z<(30-20)/4)
= P(z < 10/4)
= P (z<2.5)
Using the normal distribution probability table, we get:
P(z<2.5) = 0.9938
<u>So, the correct option is </u><u>B. 0.9938</u>
1) A - yes, b - no, c - yes
2) false, true, false
3) 85p - 34%
xp - 66%
x = 165 - she has to read 165 more pages.
4) Sylvia earns 84/12 = 7$/hr
maximum she can earn is 7*15 = 105 $
she will earn 105$ if she works for 15 hours
If the guppies multiply by four in six months then that 4 raised to the power of six. Then multiply it with the starting number of guppies which is 6Formula=4^6 (6)4096 x 6= 24576
So, there are 24, 576 guppies in six months. The answer is A.
2x and 7x is the answer of the questions