Just answer part c and d the rest are correct A. true/false test has 70 question
ID: 3223494 • Letter: J
Question
Just answer part c and d the rest are correct A. true/false test has 70 questions. A passing grade is 56% or more correct answers. a. What is the probability that a person will guess correctly on one true/false question? b. What is the probability that a person win guess incorrectly on one question? c. Find the approximate probability that a person who it just guessing will pass the test. d. If a similar test were given with multiple-choice questions with four choices for each question, would the approximate probability of passing the test by guessing be higher or lower than the approximate probability of passing the test/false test/why? a. What is the probability that a parson will guess correctly on one true/false question? (Type an integer or a decimal) b. What is the probability that a parson will guess incorrectly on one question? (Type an integer or a decimal) c. Find the approximate probability that a person who is just guessing will pass the test is Using a normal approximation, the probability that a person who is just guessing will pass the test is (Round to tour decimal places as needed.)Explanation / Answer
c) p = 0.5 , n =70 , q = 1 - p = 0.5
mean = 0.5 * 70 = 35
Std.deviation = sqrt(npq) = sqrt ( 35 * 0.5) = 4.18
Now, we need to find x
x = 0.56 * 70 = 39.2
P(X >= 39.2)
z = ( x - mean) / s
= ( 39.2 - 35) / 4.18
= 1.005
Now, we need to find p (z > 1.005)
P(X > 39.2) = P(z > 1.005) = 0.1575
d)
p = 0.25 , n =70 , q = 1 - p = 0.75
mean = 0.25 * 70 = 17.5
Std.deviation = sqrt(npq) = sqrt ( 17.5 * 0.75) = 3.63
Now, we need to find x
x = 0.56 * 70 = 39.2
P(X >= 39.2)
z = ( x - mean) / s
= ( 39.2 - 17.5) / 3.63
= 5.97
Now, we need to find p (z >5.97)
P(X > 39.2) = P(z > 1.65) = 0
The approximate probability of passing the test by guessing be lower than the the approximate probability of passing the true/ false test
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