Answer:
a) P(X=41)= 0.0086 = 0.86%
b) P(36≤X≤38)== 0.1215 = 12.15%
c) would be unusual that fewer that 20 murders were cleared because P(X≤20) = 0.000081 =0.0081%
Step-by-step explanation:
if the random variable X= number of cleared murders , then X follows a binomial distribution:
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^(n-x)
where P(X=x)= probability of x cleared murders, n= number of murders selected=50 , p= probability for a murder to be cleared (67%)
therefore
a) P(X=41)=50!/[(50-41)!*41!]*0.67^41*0.33^(50-41)= 0.0086
b) P(36≤X≤38)= P(X≤38) - P(X≤36) = 0.9371- 0.8156 = 0.1215
c) P(X≤20) = 0.000081
therefore would be unusual that fewer that 20 murders were cleared
Answer:
Range: 0.07
Median: 0.145
Mode: none
Step-by-step explanation:
<u>Range:</u> largest #- smallest #
<u>Median:</u> middle number (when numbers are in order least to greatest) or when two are middle number you add them, and divide by two
<u>Mode:</u> most occurring number(s) (if there aren't any, no mode)—but if there are multiples such as 2 zeros and 2 ones then 0 and 1 would be the mode
I believe it is 4 my good sir
Answer:
126 square feet
Step-by-step explanation:
The formula for the area of a triangle is ...
A = (1/2)bh . . . . . where b is the base length and h is the height
Here, you have a triangular face that has a base of 6 ft and a height of 14 ft. Its area is ...
A = (1/2)(6 ft)(14 ft) = 42 ft^2
The lateral area of the pyramid consists of 3 such triangles, so the lateral area is ...
LA = 3·(42 ft^2) = 126 ft^2
