Well, for the first question, just multiply 67 by .71 and you'll get your answer, 47.57%
<span>For question 2, just divide 205 by 41, which is 5, and we know that 1/5 in decimal form is .2, and .2 is equivalent to 20% </span>
<span>Question 3, we know that 75% is 3/4 of 100%, so all we have to do is divide 15 by 3 to get 5, then multiply 5 by 4 to get the total students in the class, 20. </span>
<span>For question 4, just divide 24 by 40 to get .6, which we know equals 60%</span>
The normaldistribution is alsoknown as the Gaussiandistribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
<h3>What is a normal distribution?</h3>
The normaldistribution, alsoknown as the Gaussiandistribution, is a symmetric probabilitydistribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normaldistribution will show as a bell curve on a graph.
A.) The percentage of all possiblevalues of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.