% section62 1647512 ell a Search Suppose the yearly rainfall totalb for a some c

Question

% section62 1647512 ell a Search Suppose the yearly rainfall totalb for a some city folw a normal distribution, with mean of 21 nches and standard deviation of i0 probability, P, that total raintall will be in each of the folowing intervals? (Round al answers to four decimal places ) inches. For a randomy sofected year, what is the (a) Less than 10 inches. (b) Greater than 44 inches. (c) Between 14 and 34 inches. (d) Greater than 53 inches. You may need to use the appropniate table in the Appendix of Tables to answer this question. Sabmit Progess Home Wy Assignments Exnsion Requ

Explanation / Answer

= 24, = 10

(a) z = (10 - 24)/10 = -1.4

P(x < 10) = P(z < -1.4) = 0.0808

(b) z = (44 - 24)/10 = 2

P(x > 44) = P(z > 2) = 0.0228

(c) z1 = (14 - 24)/10 = -1 and z2 = (34 - 24)/10 = 1

P(14 < x < 34) = P(-1 < z < 1) = 0.6827

(d) z = (53 - 24)/10 = 2.9

P(x > 53) = P(z > 2.9) = 0.0019

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.