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Mrs. Chauvet has an unfair number cube that lands with 6 facing up 40% of the time. Let X = the number of times that she rolls a 6 among 3 trials. Here is a binomial probability table for this setting. X 0 1 2 3 P(X) 1(0.6)3 3(0.4)(0.6)2 3(0.4)2(0.6) 1(0.4)3 Find each probability. Enter your answer to 3 decimal places. P(X < 1) = P(X ≤ 1) =

Answer :

Answer:

P(X<1) = .216         P(X</=1) = .648

Step-by-step explanation:

its right

The amount of possible paths to success is known as probability. the total number of outcomes that can occur.

Probability Calculation:

  • Probability is the science of calculating or estimating how likely or 'probable' something will occur.
  • A probability of an event occurring can be expressed using words such as "certain," "impossible," or "probable."
  • Probabilities in mathematics always are expressed as fractions, decimals, or percentages with values ranging from 0 to 1.

For question 1:

Х [tex]\sim[/tex] Binomial (n, p):

[tex]\to P(x) =^n C_x \ p^x g^{n-x}[/tex]

n=3

p=0.40

[tex]\to P(x=3) =^{3} C_3 \ (0.40)^3\ (0.60)^0 = 0.064[/tex]

For question 2:

[tex]\to P(x \geq 1) = 1 -p(x=0) \\\\[/tex]

                   [tex]= 1- [^{3} C_0 (0.40)^0 (0.60)^3]\\\\ =0.784[/tex]

  • Please find the correct question in the attached file.

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