Question

HELP. PLEASE. Offspring of a particular genetic cross have an undesirable trait
with probability 1/8. Inheritance of this trait by separate
offspring is independent. You examine 200 offspring from this cross
and count the number X who have the undesirable trait. What is the
probability that the number of offspring having this trait is at
least 20 but not more than 35?

Answer 1

wow i just learned this
and i read books all bout offspring

Answer 2

Ugh I'm having my final tomorrow for AP Stat and I'm like really really freaking out

Answer 3

i have to get off mom is pissed ask @TheSmartOne they know possible

Answer 4

im sorry

Answer 5

Alright lol

Answer 6

sorry

Answer 7

This can be solved by using the normal approximation to the binomial distribution.

Answer 8

Ok yea I used my 89 and used the Binom Cdf option with n = 200, p = 1/8, low val = 20, up val = 35 and I got the answer of 0.867 but the answer on the answer sheet says that it's suppose to be 0.8415 so I'm kinda confused

Answer 9

I guess that's pretty close because my teacher says that the answers are pretty old and that they didn't get calculated with calculated because they were THAT old but I'm still a little suspicious because when I tried Binom cdf (200, 0.125, 0, 35) - Binom cdf (200, 0.125, 0, 20) the answer came out to be like 0.816 or something

Answer 10

Calculating using a standard normal distribution table and applying the continuity correction for the approximation, my result is 0.8677 which is very close to the result from your calculator.

Answer 11

When I calculate as above, but do not apply the continuity correction (which is required when using a continuous distribution to approximate a discrete distribution) my result is 0.8414.which is very close to the answer on your answer sheet. Therefore I think we can be reasonably sure that the answer on your answer sheet is incorrect.

Answer 12

Ok thank you so much

Answer 13

You're welcome :)