Answer:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
Step-by-step explanation:
We can use basic binomial distribution, which is given by the formula:

Where <em>n</em> represent the number of trials, <em>x</em> represent the number of successes desired, <em>p</em> represent the chance of success, and <em>q</em> represent the chance of failure.
Since we are flipping a coin 10 times, we are conducting 10 trials. So, <em>n</em> = 10.
We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes <em>x</em> is 7.
The probability of success <em>p</em> is 1/2.
And the probability of failure <em>q</em> is also 1/2.
Substituting:

The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
There is 45.9 inches of snow for the whole year
so average / month = 45.9 / 12 = 3.825 inches
The formula for the area of the triangles is base x hight divided by 2 (bh/2)
The formula for the square is length times width (l x w)
therefore...
bh/2 = (12)(6) / 2 = 36 (this is the area of one triangle)
then you need to times 36 by 4 because you have 4 triangles.
36 x 4 = 144
l x w = 12 x 12 = 144 (this is the area of the square)
last you need to add the area of the triangles (144) and the area of the square (144) because that will give you the total surface area of the shape.
144+144= 288
so your answer is 288cm squared (288cm2)
Answer:
Step-by-step explanation:
a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569
b. <em>P(Z S-2.35)</em> => P(Z <= 2.35) = 0.009386706
(please check interpretation of question b)
c. <em>POSZ s 1.34)</em> => P(0 <= Z <= 1.34) = 0.9098773 - 0.5 = 0.4098773
(please check interpretation of question c)
d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801
(please check interpretation of question d)