Answer:
D) Neither X nor Y can be well approximated by a normal random variable.
Step-by-step explanation:
X = number of males (out of the 20) who are colorblind.
Y = number of females (out of the 40) who are colorblind.
Z = total number of colorblind individuals in the sample (males and females together).
The condition to use the normal approximation is that np > 5 and nq > 5
For X:
n = 20, p = 8% = 0.08,
q = 1 - 0.08 = 0.92
np = 20 * 0.08
np = 1.6 ( np < 5)
np = 20 * 0.92
np = 18.4 ( nq > 5)
For Y:
n = 40, p = 1% = 0.01,
q = 1 - 0.01 = 0.99
np = 40 * 0.01
np = 0.4 ( np < 5)
np = 40 * 0.99
np = 39.6 ( nq > 5)
For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.
I'll do a similar problem, and I challenge you to do this on your own using similar strategies!
Take y > 7x+2
Plugging in the origin, we have (0,0) as our points, and 0 > 0*7+2=2, so 0>2. As 0 is not greater than 2 (less than is the way that it's pointing), this is false. In addition, as it is y greater than 7x+2, the shaded area is above the line due to that y is greater than, and since y is up and down, greater than means higher than.
Good luck, and feel free to ask any questions that come up!
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Answer step by step
Step-by-step explanation:
Answer:
can someone teach me that
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