Answer:
No
Step-by-step explanation:
Laura painted her room with pink paint that was made by mixing paint at a ratio of 5 parts white paint to 2 parts red paint.
Suppose Laura has 15 parts of white paint. This is thrice the amount Laura needs (because ), so she has to have
parts of red paint.
Hence, if Laura combines 15 parts white and 3 parts red paint, then she will not create the same shade of pink as she used.
Answer: $69.75.
Step-by-step explanation:
Given: Cost of textbook before tax=$65.49
The tax on the textbook = 6.5%
∴ The tax amount = 6.5% of $65.49
⇒The tax amount = $4.26
The total cost of the textbook=Cost of textbook before tax+tax amount
=$65.49+$4.26
=$69.75
∴ The total cost of the textbook is $69.75.
Answer:
Step-by-step explanation:
A negative binomial random variable "is the number X of repeated trials to produce r successes in a negative binomial experiment. The probability distribution of a negative binomial random variable is called a negative binomial distribution, this distribution is known as the Pascal distribution".
And the probability mass function is given by:
Where r represent the number successes after the k failures and p is the probability of a success on any given trial.
Solution to the problem
For this case the likehoof function is given by:
If we replace the mass function we got:
When we take the derivate of the likehood function we got:
And in order to estimate the likehood estimator for p we need to take the derivate from the last expression and we got:
And we can separete the sum and we got:
Now we need to find the critical point setting equal to zero this derivate and we got:
For the left and right part of the expression we just have this using the properties for a sum and taking in count that p is a fixed value:
Now we need to solve the value of from the last equation like this:
And if we solve for we got:
And if we divide numerator and denominator by n we got:
Since