Hi,
p = .08 n = 30
P (x = 2) = binompdf(30,.08,2) = .2696
P( x < 2) = binomcdf(30,.08,1) = .2958
P ( x ≤ 1 = binomcdf(30,.08,1)= .2958
P (1 ≤ x ≤ 5) = P(x ≤ 5) - P(x< 1) = .9707 - .082 = .8887
Recommend until You are comfortable using YOUR statistical Calculator,
to check YOUR findings with the stattrek calculator on line.
Wish You the Best in your Studies.