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Dennis_Churaev [7]
3 years ago
8

A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of informatio

n. Based on many results, the (partial) probability distribution below was determined for the discrete random variable (X = number of pieces of information remembered (during a fixed time period)). What is the missing probability P(X=7)? Your answer should include the second decimal place.
Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

The missing probability is, P (X = 7) = 0.24.

Step-by-step explanation:

The complete question is:

A psychology experiment on memory was conducted which required participants to recall anywhere from 1 to 10 pieces of information. Based on many results, the (partial) probability distribution below was determined for the discrete random variable (X = number of pieces of information remembered (during a fixed time period)).

What is the missing probability P(X=7)? Your answer should include the second decimal place.

X = # information | probability:

1 | 0.0

2 | 0.02

3 | 0.04

4 | 0.07

5 | 0.15

6 | 0.18

7 | ?

8 | 0.14

9 | 0.11

10 | 0.05

Solution:

The sum of the probabilities of all events of an experiment is always 1.

\sum\limits^{n}_{i=1}{P(X=x_{i})}=1

Use the above theorem to compute the missing probability.

\sum\limits^{n}_{i=1}{P(X=i)}=1

P(X=1)+P(X=2)+P(X=3)+...+P(X=10)=1\\0.00+0.02+0.04+0.07+0.15+0.18+a+0.14+0.11+0.05=1\\0.76+a=1\\a=1-0.76\\a=0.24

Thus, the missing probability is, P (X = 7) = 0.24.

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LCM of 96,144,126 find it​
lidiya [134]

Answer:

2016

Step-by-step explanation:

To solve this problem, let us find the prime factors of the given numbers:

             96

        8   x    12

  2 x 2 x 2      2 x 2 x 3

              2⁵ x 3

             144

       12     x      12

  2 x 2 x 3       2 x 2 x 3

              2⁴  x 3²

                126

        2       x       63

      2                  7 x 9

     2                 3 x 3 x 7

            2 x 3² x 7

So, the lowest common multiple  =  2⁵ x 3² x 7  = 2016

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3 years ago
you have 120 pieces of fabric to make a blanket. each piece of fabric is a square with a side length of 6 inches. you use as man
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HI there!

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Step-by-step explanation:

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