Question

A coin is tossed and a si-sided die numbered 1 through 6 is rolled. Find the probability of tossing a head and then rolling a number greater than 3 The probability of tossing a head and then rolling a number greater than 3 is (Round to three decimal places as needed.)

Answer 1

:

Problem 1

Sample space = ( H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6)

Possible options : 12

Number of head and number greater than 3 : 3

The required P= 3/12 = 0.250

Problem 2

P( z < -0.91)= 0.1814

Problem 3

p=113/923 =0.122

q=0.878

problem 4

B False. If events are independent, P( A and B) = P(A)*P(B)

Problem 5

D. P( A and )B)=0 because A and B are complements of each other.

Problem 6

Z value for 42, z=(42-50)/7 = -1.14

P( x >42) =P( z > -1.14)

=0.8729

Problem 8

Confidence Interval Estimate for the Proportion
Data
Sample Size	2255
Number of Successes	731
Confidence Level	90%
Intermediate Calculations
Sample Proportion	0.324168514
Z Value	-1.6449
Standard Error of the Proportion	0.0099
Interval Half Width	0.0162
Confidence Interval
Interval Lower Limit	0.3080
Interval Upper Limit	0.3404

90% CI = (0.308, 0.340)

Option B.