Answer:
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Step-by-step explanation:
For each player, there are only two possible outcomes. Either it is defective, or it is not. The probability of a player being defective is independent of any other ray. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Five percent of all blue ray players manufactured by a large electronics company are defective.
This means that 
A quality control inspector randomly selects three players from the production line.
This means that 
What is the probability that exactly one of these three blue ray players is defective?
This is P(X = 1). So
0.1354 = 13.54% probability that exactly one of these three blue ray players is defective.
Answer:
4
Step-by-step explanation:because i said
When you are multiplying exponents with the same base, add the degrees.
Answer:
The probability that the three drivers would wear seat belts is 0.5
Step-by-step explanation:
Given
Percentage of drivers using seat belt = 80%
Number of drivers pulled over = 3
Required
Probability that all three drivers wore seat belt
First, the probability that a driver would wear seat belt has to be calculated.
Let's represent that with P(D)
P(D) is equivalent to the percentage of drivers using seat belt
%
Let the probability that the three drivers would wear seat belts be represented as P(All).
P(All) is calculated as thus;
<em>(Probability that the first driver would wear seat belt) and (Probability that the second driver would wear seat belt) and (Probability that the first driver would wear seat belt).</em>
<em></em>
<em>Mathematically, this means</em>
Substitute
--- Approximated
Hence, the probability that the three drivers would wear seat belts is 0.5
Given:
The cost function C(t) = 45t + 95 where t is the number of hours purchased
To Find:
The amount of money a customer pays more for using the service for 5 hours than for 3 hours
Solution:
A customer has to pay $90 more to use the service for 5 hours than for 3 hours.
Calculation:
First, we find the cost of using the service for 3 hours, i.e., at t=3. We do this by substituting t=3 in the cost function C(t) = 45t + 95
C(t) = 45(3) + 95 = 230
Thus the cost for using the service for 3 hours is $230.
Next, we find the cost of using the service for 5 hours, i.e., at t=5. We do this by substituting t=5 in the cost function C(t) = 45t + 95
C(t) = 45(5) + 95 = 320
Thus the cost for using the service for 5 hours is $320.
The difference in the two prices is $(320-230) = $90
So, a customer has to pay $90 more to use the service for 5 hours than for 3 hours.
