Mendel\'s famous hybridization experiments involved peas. If two of the peas inc
ID: 3172891 • Letter: M
Question
Mendel's famous hybridization experiments involved peas. If two of the peas included in the following table are randomly selected without replacement, find the probability that the first selection has a green pod and the second selection has a yellow pod. A recent study reported that the prevalence of obesity is 45% in children ages 6-12. If 15 children are analyzed, what is the probability that 7 are obese? Total cholesterol in children aged 10-15 is assumed to follow a normal distribution with a mean of 200 and a standard deviation of 27.5. What proportion of children 10-15 years of age have a total cholesterol between 180 and 190? If a sample of 20 children are selected, what is the probability that the mean cholesterol level will exceed 210?Explanation / Answer
Solution:-
Ans.(4):
There are total 8 flowers in Green pod .
There are total 6 flowers in Yellow pod .
The Probability that first selection has a green pod=1/N=1/8 =0.125
The Probability that second selection has a yellow pod=1/N=1/6 =0.1667
Ans.(5):
P(of slelecting of an obese child)=0.45
P(not slelecting of an obese child)=1-0.45=0.55
the probability of(7:15,0.45) that is getting exactly 7 success in 15 tria with the probabilty is =0.45
Ans.(6)
part (a)- we have to given that mean is 200 and standaerd deviation is 27.5
Using formula z1=(x1-m)/sd ........................x1= 180, m=mean , sd=standard deviation
Using formula z2=(x2-m)/sd ........................x2= 190, m=mean , sd=standard deviation
z1=(x1-m)/sd= (180-200)/27.7=-0.7273
z2=(x2-m)/sd =(190-200)/27.5=-0.3636
= P(-0.7273<=z<=-0.3636)
= P(z<=-0.36)-P(z<=-0.72)
= 0.3594-0.2328
=0.1266