skittlesarebae263 skittlesarebae263
  • 15-07-2017
  • Mathematics
contestada

A new surgery is successful 75% of the time. if the results of 10 such surgeries are randomly sampled, what is the probability that fewer than 9 of them are successful

Respuesta :

Sxerks Sxerks
  • 15-07-2017
[tex]\text{Binomial Distribution: } P(X = r) = \binom{n}{r}(p)^{r}(1 - p)^{n - r}[/tex]
[tex]P(X < 9) = 1 - P(X = 9) - P(x = 10)[/tex]

[tex]P(X = 9) = \binom{10}{9}(0.75)^{9}(0.25)[/tex]
[tex]P(X = 10) = \binom{10}{10}(0.75)^{10}[/tex]

[tex]P(X < 9) = 1 - \binom{10}{9}(0.75)^{9}(0.25) - \binom{10}{10}(0.75)^{10}[/tex]
[tex] \approx 0.755974769...[/tex]
Answer Link

Otras preguntas

What is 12 is 2% of what unknown value?
What economic factors and conditions converged in the late 1920''s to plunge the nation into the Great Depression?
Which of the following statements best describes who makes government decisions in an oligarchy? A. Many elected officials B. A single political party C. Many p
Reasonableness Is the product of 6×2×4 less than 50? Explain
What the grain shape of an obsidian rock
3t - 7 = 5t, then 6t =
Which French leader of the Protestant Reformation made Geneva a center of Protestant thought and faith? A. Teresa of Avila B. John Huss C. Martin Luther D. John
How do enhancers accelerate the transcription of a gene?
Which of the following best describes the relationship between jaguars and panthers? a. Panthers and jaguars are separate species. b. Panthers are jaguars with
what is greater 95 percent or 0.9