Someone pls help it a exam I’ll give brainiest :)

Mathematics

1 answer:

Zanzabum3 years ago

6 0

I think it’s the first answer! Good luck!

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For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12

notsponge [240]

The binomial distribution is given by,
P(X=x) = $(^{n}C_{x})p^{x} q^{n-x}$
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = $(^{100}C_{x})(0.2)^{x} (0.8)^{100-x}$
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) = $(^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1}$ + $(^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3}$ + $(^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5}$ + $(^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7}$ + $(^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9}$ + $(^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11}$ + $(^{100}C_{12})(0.2)^{12} (0.8)^{100-12}$

Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.

7 0

3 years ago

How to find the area of a sector with a sector angle of 72 degrees and a radius of 14 cm

skad [1K]

Answer:

Exact area: 39.2π cm²

Approximate area: 123.2 cm²

Step-by-step explanation:

The area of a circle is πr².

A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.

The formula for the area of a sector of circle with central angle n° and radius r is

A = (n°)/(360°) × πr²

Here we have n = 72; r = 14 cm

A = (n°)/(360°) × πr²

A = (72°)/(360°) × π × (14 cm)²

A = 39.2π cm² = 123.2 cm²

7 0

1 year ago

When tossing 2 coins, the probability of getting exactly 1 tail is 1/4

Rina8888 [55]

The answer is false.

Exactly <em>1 </em>tail would mean the probability is 1/2.

5 0