Jaime had ten posters, but only five could fit on his closet door. how many
1 answer:
There are 30240 different ways can he arrange the five posters out of the ten on his closet door
<h3>How to determine the number of arrangements?</h3>The given parameters are:
- Total, n = 10
- Posters to arrange, r = 5
The number of ways is calculated as:
Ways =
This gives
Ways =
Apply the permutation formula
Ways = 30240
Hence, there are 30240 different ways can he arrange the five posters out of the ten on his closet door
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Answer:
a) P(X = 0) = 0.5997
b) P(X = 9) = 0.0016
c) P(X = 8) = 0.0047
d) P(X = 5) = 0.4018
Step-by-step explanation:
These following problem are examples of the binomial probability distribution.
Binomial probability
Th binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
(a) for n = 4 and π = 0.12, what is P(X = 0)?
(b) for n = 10 and π = 0.40, what is P(X = 9)?
(c) for n = 10 and π = 0.50, what is P(X = 8)?
(d) for n = 6 and π = 0.83, what is P(X = 5)?
Answer: $1117.42
Step-by-step explanation:
Given: The amount predicted by Economist =$1180
Let x be the amount spent by Americans on Summer vacation in 2014.
Therefore, According to the question, we have
5.6% of x+x=1180
Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42