Question

7.2.23-1 :3 Westol hep ent Assume that the random variable X is normally distributed, with mean u = 51 and standard deviation o = 11. Compute the probability. Be sure to draw a normal curve with the area corresponding to the probability shaded. PIX S47) Which of the following shaded regions corresponds to P(XS 47)? OB. O O MA / A: A 4751 4751 4751 PIX S47)= (Round to four decimal places as needed.)

Answer 1

Solution :

Given that ,

mean = $\mu$ = 51

standard deviation = $\sigma$ = 11

P(x $\leq$ 47)

= P[(x - $\mu$ ) / $\sigma$ $\leq$ (47 - 51) / 11]

= P(z $\leq$ -0.3636)

= 0.3581

P(x $\leq$ 47) = 0.3581