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3 years ago

A card is drawn one at a time from a

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

7 0

Answer:

The experimental probability P(E) is 0.1818 = 18.18%

Step-by-step explanation:

The experimental probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

11 trials(11 outcomes)

2 kings(2 desired)

P(E) = 2/11 = 0.1818

The experimental probability P(E) is 0.1818 = 18.18%

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For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12

notsponge [240]

The binomial distribution is given by,
P(X=x) = $(^{n}C_{x})p^{x} q^{n-x}$
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = $(^{100}C_{x})(0.2)^{x} (0.8)^{100-x}$
where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) = $(^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1}$ + $(^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3}$ + $(^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5}$ + $(^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7}$ + $(^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9}$ + $(^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11}$ + $(^{100}C_{12})(0.2)^{12} (0.8)^{100-12}$

Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.

7 0

3 years ago

What is 6 to the 4 power times 6 to the 4th power?

alexdok [17]

Answer:

Your answer is 1679616

Step-by-step explanation:

6 x 6 x 6 x 6=1296

1296 x 1296=

1679616

6 0

3 years ago

While shopping for a dress, mrs vargas found one that was in sale for 35% off. the original price was $40. how much will she sav

timurjin [86]

Answer: $14

Steps:
What if 35% of $40
35% of 40
35% * 40
0.35 * 40 = $14

She will save $14

Tips:
-The word “of” means multiply
-To change a percent to a decimal move the decimal 2 places to the left.

If this was helpful and correct I would appreciate the brainliest! :)

3 0

3 years ago

If there are initially 2000 bacterial in a culture, and the number of bacteria doubles each hour, the number of bacteria after t

Nezavi [6.7K]

Replace 7 for the variable, t. N= 2000(2(7))= 28000

7 0

3 years ago

Read 2 more answers

How to convert 6.9 to a fraction or mixed number

Marianna [84]

6.9 has 1 decimal, therefore we'll use 1 zero and lose the dot

$\bf 6.\underline{9}\implies \cfrac{69}{1\underline{0}}
\\\\\\
\textit{now, 10 goes into 69 \underline{6 times} with a \underline{remainder} of 9}\implies 6\frac{9}{10}$

6 0

3 years ago