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coldgirl [10]
2 years ago
14

At one of New York’s traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and

direct the traffic. The hourly traffic pattern from 12:00 p.m. to 10:00 p.m. mimics the random numbers generated between 5 and 25. (This holds true if there are no external factors such as accidents or car breakdowns.)
Scenario

Hour

Number of Cars Held Up at Intersection

A

noon−1:00 p.m.

16

B

1:00−2:00 p.m.

24

C

2:00−3:00 p.m.

6

D

3:00−4:00 p.m.

21

E

4:00−5:00 p.m.

15

F

5:00−6:00 p.m.

24

G

6:00−7:00 p.m.

9

H

7:00−8:00 p.m.

9

I

8:00−9:00 p.m.

9

Based on the data in the table, which scenarios would require a traffic cop?
Mathematics
2 answers:
Alinara [238K]2 years ago
8 0
Scenarios B, D, and F require a police officer. In scenario B, 1:00-2:00pm, and scenario F, 5:00-6:00pm, there are 24 cars. In scenario D, 3:00-4:00pm, there are 21 cars. Both 24 and 21 are greater than 17, so a traffic officer is needed. However, in other scenarios, the number of cars are all less than 17, and no officer is needed.
REY [17]2 years ago
6 0

Answer:

Scenario B ,D and F requires traffic cops.

Step-by-step explanation:

Scenario        Hour         Number of Cars Held Up at Intersection

A             noon−1:00 p.m.             16  

B             1:00−2:00 p.m.              24  

C            2:00−3:00 p.m.               6  

D            3:00−4:00 p.m.              21  

E             4:00−5:00 p.m.              15  

F             5:00−6:00 p.m.              24  

G           6:00−7:00 p.m.                9  

H           7:00−8:00 p.m.                 9  

I              8:00−9:00 p.m.                9

We are given that  if more than 17 cars are held up at the intersection, a traffic officer will intervene and direct the traffic.

So, through the given table we can see that Scenario B ,D and F has more than 17 cars .

So, Scenario B ,D and F requires traffic cops.

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A Department of Transportation survey showed that 60% of U.S. residents over 65 years of age oppose use of cell phones in flight
Shalnov [3]

Answer:

a) P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760

b) P(X>17) = P(X=18) +....+P(X=25)

And we can use the following excel code: "=1-BINOM.DIST(17;25,0.6,TRUE)"

And we got:

P(X>17) = P(X=18) +....+P(X=25)= 0.154

c) P(X

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

P(X

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Solution to the problem

Part a

P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760

Part b

For this case we want this probability:

P(X>17) = P(X=18) +....+P(X=25)

And we can use the following excel code: "=1-BINOM.DIST(17,25,0.6,TRUE)"

And we got:

P(X>17) = P(X=18) +....+P(X=25)= 0.154

Part c

For this case we want this probability:

P(X

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

P(X

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2 years ago
It takes 48 pounds of seeds to completely plant a five acre field, how many acres can be planted per pound?
lana [24]

Answer:

9.6

Step-by-step explanation:

So you divide 48 Divided by 5 wich equals 9.6 HOPE THIS HELPS

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2 years ago
How does one solve this?
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The answer is a. x\sqrt{7}


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Answer:

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6 0
1 year ago
A grocer bought 70 cans of corn. She sold 10 cans that day and 15 cans the next day. How many did she have left?
e-lub [12.9K]

answer

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step-by-step explanation

total = day1 + day2 + remaining

total = 70

day1 = 10

day2 = 15

plug in values

70 = 10 + 15 + remaining

remaining = 70 - 10 - 15

remaining = 45 cans

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2 years ago
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