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olya-2409 [2.1K]
1 year ago
13

Suppose x follows a continuous uniform distribution from 1 to 5. determine the conditional probability p(x >2.5 | x ≤ 4).

Mathematics
1 answer:
Rainbow [258]1 year ago
8 0
Because the random variable x follows a continuous uniform distribution from x=1 to x=5, therefore
p(x) = 1/4,  x=[1, 5]
The value of p(x) ensures that the total area under the curve = 1.

The conditional probability p(x > 2.5 | x ≤ 4) is the shaded portion of the curve. Its value is
p(x > 2.5 | x ≤4) = (1/4)*(4 - 2.5) = 0.375

Answer: 0.375

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. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation ti
Paul [167]

Answer:

Step-by-step explanation:

Given that the  mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

X is N(25, 1)

a) Normal curve is in the attached file

b) the probability that a randomly selected fertilized egg hatches in less than 23 days

=P(X

we convert x into Z score and use std normal distn table to find probability

P(X

i.e. we can say only 2.5% proportion will hatch in less than 23 days.

8 0
1 year ago
Harry has 20 sweets. He gives 7 of the sweets to Nadia. What fraction of the 20 sweets does Harry have now?
olganol [36]

Answer: 13

Step-by-step explanation:

1. Harry has 20/20 sweets

2. Nadia takes 7/20 sweets

3. Your left with 13/20

3 0
2 years ago
Read 2 more answers
Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is 35h+56 dollars.which expression repre
statuscvo [17]

The expression 5h+8 represents Harriet's gross pay each day.

Step-by-step explanation:

Given,

Gross pay of Harriet = 35h + 56

This expression represent Harriet's pay for 7 day.

Harriet's gross pay per day = \frac{Gross\ pay}{Number\ of\ days}

Harriet's gross pay per day = \frac{35h+56}{7}

Harriet's gross pay per day = \frac{35h}{7}+\frac{56}{7}

Harriet's gross pay per day = 5h+8

The expression 5h+8 represents Harriet's gross pay each day.

Keywords: division, addition

Learn more about division at:

  • brainly.com/question/106975
  • brainly.com/question/10712420

#LearnwithBrainly

4 0
1 year ago
The ratio of the lengths of corresponding parts in two similar solids is 5:1,
vlabodo [156]
The ratio of the surface areas of two similar solids can be computed by squaring the given ratio of the corresponding sides. For this given,
                                r = (5:1)^1
                               r = 25:1

Thus, the ratio of the surface areas of the similar solids is 25:1. 
7 0
2 years ago
Read 2 more answers
After a certain medicine is ingested, its concentration in the bloodstream changes over time.
myrzilka [38]

Answer:

Every hour, the medicine concentration decays by a factor of 4%.

Step-by-step explanation:

The relationship between the elapsed time, <em>t</em>, in minutes, since the medicine was ingested, and its concentration in the bloodstream, <em>C</em> (<em>t</em>), is:

C(t)=61\cdot (0.96)^{t}

The decay function is:

y=a(1-r)^{t}

Here,

<em>y</em> = final amount

<em>a </em>= initial amount

<em>r</em> = decay rate

<em>t</em> = time

From the provided expression the decay rate is:

1-r=0.96\\r=1-0.96\\r=0.04

Thus, every hour, the medicine concentration decays by a factor of 4%.

8 0
2 years ago
Read 2 more answers
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