Answer:
The mean number of cars recovered after being stolen is 267 and the standard deviation is 5.42.
Step-by-step explanation:
For each stolen car, there are only two possible outcomes. Either it is recovered, or it is not. The probability of a stolen car being recovered is independent of other stolen cars. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
So
The mean number of cars recovered after being stolen is 267 and the standard deviation is 5.42.
Answer:
y = ix + 6i + 4
Step-by-step explanation:
Since the line has undefined slope or indefinite slope we connote that the slope is (i)
Slope(m) of straight line = change in y ÷ change in x
Taking another point (x,y) on the line:
i =
i =
Cross multiplying gives;
y - 4 = ix + 6i
y = ix + 6i + 4
Answer:
Step-by-step explanation:
Let be a random variable that counts the number of failures preceding the first success and be a random variable that counts the number of failures between the first two successes. The probability of success in a independent trial is and both of them have Bernoulli distribution.
Assume that the number of unsuccessful trials before the first successful one is and that is a number of failures between two successes.
The joint mass function of two discrete random variables and is defined by
In this case, we have two discrete random variables and which are independent, so we have that their joint mass function is of the form
The probability that the number of failures before the first successful trial is equal to is
The probability that the number of failures between two successes is equal to is
Therefore,
Now, we obtain that that their joint mass function is
1.) Solving for x: x= -(3y/2) +5
solving for y= -(2x/3)+3 1/3
2.)solving for x: x= 10y/3+5
solving for y: y=3x/10 - 1 1/2
Please make sure to check with classmates for answers, to help each other.