Activity 1: Directions: Write TRUE if the statement is true and FALSE if the statement is false.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

5 0

Step-by-step explanation:

1.The formula in finding the area of a circle is derived from the area of a parallelogram. It is false.

2. The area of a circle is πr² where r is the radius of the circle. It is true.

3. The area of a circle is equal to pi divided by the square of the radius. It is false.

4. The diameter of a circle is equal to twice its radius i.e. d = 2r. It is true.

5. If r = 2.1 m

Area of circle, A = πr²

= 3.14 (2.1)²

= 13.85 m²

Henc,e this is the required solution.

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a) $P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

b) $P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298$

c) $P(X \geq 1) = 1- P(X$

$P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969$

So then we have:

$P(X \geq 1) = 1- P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$