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Soloha48 [4]
3 years ago
13

Please help me Question 3 of 5

Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

46

Step-by-step explanation:

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6. A bank auditor claims that credit card balances are normally distributed, with a mean of $3570
sergejj [24]

Answer:

Probability that their mean credit card  balance is less than $2500 is 0.0073.

Step-by-step explanation:

We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570  and a standard deviation of $980.

You randomly select 5 credit card holders.

Let<em> </em>\bar X<em> = </em><u><em>sample mean credit card balance</em></u>

The z score probability distribution for sample mean is given by;

                                Z =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean credit card balance = $3570

            \sigma = standard deviation = $980

            n = sample of credit card holders = 5

Now, the probability that their mean credit card  balance is less than $2500 is given by = P(\bar X<em> </em>< $2500)

    P(\bar X<em> </em>< $2500) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{2500-3570}{\frac{980}{\sqrt{5} } } ) = P(Z < -2.44) = 1 - P(Z \leq 2.44)

                                                               = 1 - 0.9927 = 0.0073

The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.

Therefore, probability that their mean credit card  balance is less than $2500 is 0.0073.

4 0
3 years ago
WILL GIVE BRAINLIEST! PLEASE HELP!
cluponka [151]

Answer:

C

Step-by-step explanation:

Since the polynomial is of 3rd degree, it has 3 solutions.  The possibilities are 3 real solutions or 1 real solution and 2 imaginary solutions.

Therefore, C is the correct answer

7 0
3 years ago
Sandra's ice popsicle is 8 1/5 inches long. She eats 6 4/5 inches. How long is
pshichka [43]

Answer:1 2/5

Step-by-step explanation:

8 1/5 = 41/5

6 4/5 = 34/5

41/5 - 34/5 = 7/5 which is the same as 1 2/5

3 0
3 years ago
Read 2 more answers
Evaluate x square2 +12,when x=3
GarryVolchara [31]

Answer:

21

Step-by-step explanation:

3^2=9

9+12=21

Keep it up

6 0
3 years ago
______ an argument which convinces other people that something is true
Alina [70]

Answer:

Step-by-step explanation:

8 0
3 years ago
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