A study shows that 20% of college students pray daily in their own religious beliefs. In a group of 300 college students, find the probability that 57 to 62 of them pray daily in their own religious beliefs. Use up to 4 decimal places accuracy for μ
ˆ
p
,
σ
ˆ
p
, and your answer.

0.2805
0.6141
0.47385
0.3336
None of the above.

0.2805

Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) =

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

For x = 57:

For x = 62:

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent