We believe that 93% of the population of all business statistics i students consider statistics to be an exciting subject. suppose we randomly and independently selected 28 students from the population. if the true percentage is really 93%, find the probability of observing 27 or more students who consider statistics to be an exciting subject.

the probability of observing 27 or more students 0.818

Step-by-step explanation:

given data

sample n = 28 students

population = 93%

to find out

the probability of observing 27 or more students

solution

we will find Z value for CI 93%  

from z table we get Z is 1.812 for Cl 93%

so P(27 ≤ Z ≤ 28)

we know Z = 0.182

= 1 - 0.182

= 0.818

the probability of observing 27 or more students 0.818

b. 15π m  

Step-by-step explanation:

The formula for the arc length (s) of a circle is  

s = rθ

Data:

r = 10 m

Calculations:

The smaller angle is π/2.

The angle θ subtending XPY is 2π - π/2 = (3π)/2.

s = rθ = 10 × (3π)/2 = 15π m

The length of XPY is 15π m.