Respuesta :
1.46% probability that fewer than 700 children received their vaccine.
What is probability?
The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.
Here, we have
95% of children have received their DTaP vaccine p = 0.95
Sample of 750, n = 750
For the approximation, the mean and the standard deviation are given by:
u = np = 750×0.95 = 712.5
σ = [tex]\sqrt{np(1-p)}[/tex]
σ = [tex]\sqrt{750(0.95)(0.05)}[/tex]
σ = 5.97
Using continuity correction, the probability that fewer than 700 children received their vaccine is P(X < 700 - 0.5) = P(X < 699.5), which is the p-value of Z when X = 669.5.
Z = X-u/σ
Z = 669.5 - 712.5/5.97
Z = - 2.18
The p-value of Z = - 2.18 is 0.0146.
Hence, 1.46% probability that fewer than 700 children received their vaccine.
To learn more about the probability from the given link
https://brainly.com/question/24756209
#SPJ4
