In how many days will the inspectors come on the same day
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The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.
Given information-
The price of the tickets for the basketball game for adults is $4.00.
The price of the tickets for the basketball game for students is $2.50.
<h3>Variables</h3>Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.
Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>
As the total tickets sold for the game is $320. Thus,
.......1
Now as the total money with ticket selling is $1100. Thus,
Keep the value of u from the equation 1 in the above equation. We get,
Thus the number of tickets sold to the student are 120.
Keep this value in equation 1,
Thus the number of tickets sold to the adults are 200.
Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.
Part A
Use the binomial probability distribution formula.
p = 0.54 = probability of getting a purple marble
n = 5 = sample size
x = 2 = number of purple we want to get
The portion is from the nCr combination formula. The exclamation marks indicate a factorial.
Alternatively, you could use Pascal's Triangle for that portion.
<h3>Answer: 0.283831776</h3>This decimal value is exact. Round it however you need to.
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Part B
To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.
n*p = 5*0.54 = 2.7
<h3>Answer: 2.7</h3>