Question

Assignments: 205-MATH114.012 COLL MATHEMA M114-520 Assignment 15 - Math 114, section 12,5 . D Inbox - moteldu - University of het 7. (-/1 Points DETAILS BBBASICSTAT7 7.3.014. MY NOTE Assume that has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) 2.7; 0.31 PEx 2) - Need Help? Theater Submit Answer Practice Another Version 8. [-12 Points DETAILS BBBASICSTAT7 7.3.016. MY NOTE Find such that 3.8% of the standard normal curve lies to the left of 2 (Round your answer to two decimal places) Sketch the area described all

Answer 1

Solution:-

7) P(z > - 2.258) = 0.988

Mean = 2.7, S.D = 0.31

x = 2

By applying normal distribution:-

$z = \frac{x-\mu }{\sigma }$

z = - 2.258

Use the z to p-value calculator or z table.

P(z > - 2.258) = 0.988

8)

p-value for the bottom 16% = 0.038

z-score for the p-value = - 1.774

p = 0.038 is- 1 NE -2 z = -1.774