Jordan has 10 friends in the school band. The number of his friends who play the saxophone is shown in the grid. Use the grid to
complete the statements and help Jordan find the percent of his band friends who play the saxophone.
A bar diagram has 3 shaded squares and 7 unshaded squares.
The grid has
total squares.
Jordan needs
copies of the grid to have 100 total squares.
With that many copies of the grid, the 3 shaded squares will become
.
So,
of Jordan’s band friends play the saxophone.
A bar diagram has 3 shaded squares and 7 unshaded squares.
The grid has
total squares.
Jordan needs
copies of the grid to have 100 total squares.
With that many copies of the grid, the 3 shaded squares will become
.
So,
of Jordan’s band friends play the saxophone.
2 answers:
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Answer:
a) 91.33% probability that at most 6 will come to a complete stop
b) 10.91% probability that exactly 6 will come to a complete stop.
c) 19.58% probability that at least 6 will come to a complete stop
d) 4 of the next 20 drivers do you expect to come to a complete stop
Step-by-step explanation:
For each driver, there are only two possible outcomes. Either they will come to a complete stop, or they will not. The probability of a driver coming to a complete stop is independent of other drivers. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The 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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
20% of all drivers come to a complete stop at an intersection having flashing red lights in all directions when no other cars are visible.
This means that
20 drivers
This means that
a. at most 6 will come to a complete stop?
In which
91.33% probability that at most 6 will come to a complete stop
b. Exactly 6 will come to a complete stop?
10.91% probability that exactly 6 will come to a complete stop.
c. At least 6 will come to a complete stop?
Either less than 6 will come to a complete stop, or at least 6 will. The sum of the probabilities of these events is decimal 1. So
We want . So
In which
19.58% probability that at least 6 will come to a complete stop
d. How many of the next 20 drivers do you expect to come to a complete stop?
The expected value of the binomial distribution is
4 of the next 20 drivers do you expect to come to a complete stop