Answer:
b) 0.2961
c) 0.2251
d) Mean = 11.25, Standard deviation = 1.667
Step-by-step explanation:
We are given the following information:
We treat trucks undergoing a brake inspection passin as a success.
P( trucks undergoing a brake inspection passes the test) = 75% = 0.75
a) Conditions for binomial probability distribution
- There are n independent trial.
- Each trial have a success probability p
- The probability of success is same for all trials.
Then the number of trucks undergoing a brake inspection follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 15
b) P(proportion of groups will between 8 and 10 trucks pass the inspection)
We have to evaluate:
c) P( exactly 3 trucks fail the inspection)
p = 0.25
d) Mean and standard deviation
Answer:
b
Step-by-step explanation:
If you are going to use mental math, round $0.98 up to $1.
Rounded, the cost of the 30 songs is $30.
However, since you rounded at the beginning, you need to subtract 2 cents for every song you purchased from the total of $30.
Multiply 30 by $0.02 to get $0.60. Subtract $0.60 from $30.
Your answer should be $29.40.
Answer:
2. This is only true when x=-3.
3. This is only true when x=3.
4. This is only true when x=12.
5. This has no solution.
6. This has an infinite number of solutions.
We know that functions are mathematical entities that assign unique outputs to given inputs. In other words, a function can't have repeated values in the input repeated x-value.
For example consider the relation {(1,4), (1,5), (2,6), (3,7), (4,8), (5,9)}.
We see that above relation has repeated x-value "1" which is assigned to two different output values 4 and 5. So by definition of function, above relation can't be a function.
