Given that mean is 8.20 and variance is 4.41, the value of b will be calculated as follows: P(x>b)=0.08 ⇒P(x<b)=1-0.08=0.92 the z-score corresponding to this probability is: z=1.41 but the formula for z-score is given by: z=(x-μ)/σ where: μ=mean σ=standard deviation thus plugging in the values we obtain: 1.41=(x-8.2)/√4.41 1.41=(x-8.2)/2.1 solving for x 1.41×2.1=x-8.2 x=2.961+8.2 x=11.161
