Question

1. Find c such that each of the following is true. Sketch the curve. a. P (0 <z<c) = 0.3686 b.P (c<z < 0) = 0.4706 c. P 1-c<z<c) = 0.2510 d. P Iz > c) = 0.7054 e.P (z > c) = 0.0351 2. In a certain village, the average family incomes are normally distributed with a mean of Php 60,000 and a standard deviation of Php 30.000 per month. Find: a. The probability that a given family has an income over Php 100.000 b. The probability that a given family has an income between Php 50,000 and Php 102,500 C. The probability that a given family has an income less than Php 75,000 3. The results of a statewide exam for assessing the mathematics skills of realtors were normally distributed with a mean score of 72 and a standard deviation of 12. The realtors who scored in the top 10% are to receive a special certificate, while those in the bottom 20% will be required to attend a remedial workshop a. What score does a realtor need in order to receive a certificate b. What score will dictate that the realtor attend the workshop 4. The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. The ages of the two teenagers are 13 and 15. The ages of the younger children are 5 and 7. From the following clues, determine the age of each of the children. Write your final answer in sentence form. a. Reynaldo is older than Ramiro. b. Sasha is younger than Shakira. C. Sasha is 2 years older than Ramiro. d. Shakira is older than Reynaldo. 5. If Php 25.000 is deposited in an account that earns interest compounded monthly becomes Php 32,000 after 2 years, what is the interest rate? 6. Bogart invested Php 50.000 in a trust fund that pays 15.5% compounded quarterly. How long will it take for Bogart to double his money?

Answer 1

solution:- (a) Plolzco) = 0. 3686 » Plzc() - Placo): 0.3686 & Plze() = 0.8686 B C 1.12 6 1:12 (6) Plccnco) = 0.4706 Plzco) - P(Zcc) = 0.4706 & Place) = 0.0294 c|-1-89 -- 1.89 (2) PL-C CALC) = 0.2510 >C 0.32) IH -0.32 0.32 (d) plac) = 0.7054 » c = -0.54] :)=0.035) -0.59 o c=11.81 - D