Kareem is on his way home in his car. He has driven 30 miles so far, which is five-sixths of the way home. What is the total len
2 answers:
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Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got:
Answer:
They invested total $2730 over the past two years.
Step-by-step explanation:
Consider the provided information.
Dan and Paula regularly invested $25/week in a mutual fund account.
There are 52 weeks in a year.
Total money they invested in a mutual fund in first year.
$25×52 = $1300
They increased their weekly investment by 10 percent.
First find the 10% or 25.
That means they invest $25+$2.5 = $27.5
They invest $27.5/week in next year.
Total money they invested in a mutual fund in second year.
$27.5×52 = $1430
Hence the total money they invested in the account over the past two year is:
$1300+$1430=$2730
Hence, they invested total $2730 over the past two years.