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VladimirAG [237]
2 years ago
15

Market research shows that 30% of consumers are likely to purchase an electronic tablet for younger children under age 10. Howev

er, only 2% of consumers are likely to buy a laptop for children under age 10.
On the other hand, for children ages 10 – 17, 50% of consumers are likely to buy a tablet and 40% are likely to buy a laptop. If a family has a five-year-old son and a 13-year-old daughter, what is the probability of both children receiving a tablet?​
Mathematics
1 answer:
Yuliya22 [10]2 years ago
5 0

The probability of both children receiving a tablet is 15%.

We have given that

Age of Children P(Tablet) P(Laptop)

Less than 10    0.3   0.02

10-17     0.5    0.4

<h3>What is the probability?</h3>

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Probability of both children receiving a tablet is

0.3*0.5 = 0.15 = 15%

Therefore, the probability of both children receiving a tablet is 15%

Therefore option b is correct.

To learn more about the probability visit:

brainly.com/question/24756209

#SPJ1

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Answer:

The decision rule is  

Fail to reject the null hypothesis

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There is no sufficient evidence to show that the average room price is significantly different from $108.50

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 64

    The average price is  \= x  = \$ 112

    The population standard deviation is  \sigma  = \$ 16

     The level of significance is  \alpha  = 0.05

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The alternative hypothesis is  H_a  :  \mu \ne  108.50

Generally the test statistics is mathematically represented as

       z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }

=>    z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }  

=>    z = 1.75

From the z table  the area under the normal curve to the left corresponding to  1.75  is  

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Generally  p-value is mathematically represented as

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=>     p-value = 2 * 0.040059

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From the values obtained we see that  p-value  > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that the average room price is significantly different from $108.50

 

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