Complete question :
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.
a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?
Answer:
0.17
0.29686
0.000092
Step-by-step explanation:
Given that :
Probability of success (p) = 0.3
Number of cases (n) = 15
1 - p = 1 - 0.3 = 0.7
Usung binomial distribution formula :
a. What is the probability that exactly 3 of these 15 crimes will be solved?
P(x = 3)
Recall:
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 15C3 * 0.3^3 * 0.7^12
P(x = 3) = 455 *
P(x = 3) = 0.17
B.) What is the probability that at most 3 of these 15 crimes will be solved?
P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)
To save computation time, we can using the binomial probability calculator :
P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686
c. What is the probability that more than 11 of these 15 crimes will be solved?
P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)
P( X > 11) = 0.000092
If all the cheese slices have same mass, say m grams
and mass of 3 cheese slices is 27
so,
m+m+m=27
3m=27
or m=27/3
m=9
thus
mass of one cheese slice is 9 grams
Answer:
a
Step-by-step explanation:
13.) A=9cm^2
If the area is l•h, and there are 9 cubic squares, that means that the length of each side on the square is 3cm, each square on it equals 1cm.
14.) V=27cm^3
If the volume is l•w•h, then we find the third power square root of 27, so 3•3=9•3=27, the answer is 3cm for the length, width, and height.
15.) V=4,913cm^3
If volume is l•w•h, then what number when raised to the third power equals 4913? The answer is 17, since 17•17=289•17=4913. So the length is 17cm
16.)V=216cm^3
If volume is l•w•h, then what number when raised to the third power equals 216? The answer is 6, since 6•6=36•6=216.
17.)A=121
Is area is l•w, then what number raised to the second power equals 121? The answer is 11, since 11•11=121. Therefore it WILL NOT fit a car with a length of 13ft.
18.)A=141
If area is l•w, then what number raised to the second power equals 141? The answer is 12, since 11.87•11.87=141 (answer was rounded to nearest whole number) meaning that she will need 12ft of fence to enclose her garden.
