Solution: Telemarketing. the probability that a call will reach a live person is 0.2. the calls are independent. (a) a telemarketer places 5 calls. what is the probability that none of them reaches a live person.

Answer: The given random experiment can be considered as binomial experiment with probability of success = 0.2 and number of trials = 5

Therefore, we have:

$n=5,p=0.2,q=(1-p)=1-0.2=0.8$

Let x be the number calls that reach to live person.

We have to find $P(x=0)$

Using the binomial probability distribution, we have:

$P(x=0)=\binom{5}{0}0.2^{0} (1-0.2)^{5-0}$

$=1 \times 1 \times 0.8^{5}$

$=0.3277$

Therefore, the probability that none of them reaches a live person is 0.3277

6 0

3 years ago

In circle A shown below, BD with a line above is the diameter and the measure of arc CB is 54 degrees. What is the measure of an

Vinil7 [7]

The complete question in the attached figure

we know that
the triangle ACB is an isosceles triangle
AC=AB----------> equals to the radius
so
∡ACB=∡CBA
the angle ∡CAB is equals to 54° by central angle
so
180°=54°+2*∡CBA--------> ∡CBA=[180-54]/2-----> 63°
∡CBA=63°
∡DBC=∡CBA-----------> ∡DBC=63°

the answer is
∡DBC=63°