Using the principle of binomial probability, the probability that more than 3 friends win a prize is
Recall :
- P(x = x) = nCx * p^x * q^(n-x)
<u>Given</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>
- <em>Probability</em><em> </em><em>of</em><em> </em><em>success</em><em>,</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>1</em><em>/</em><em>6</em><em> </em>
- <em>q</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>-</em><em> </em><em>p</em><em> </em><em>=</em><em> </em><em>5</em><em>/</em><em>6</em><em> </em>
- <em>Number</em><em> </em><em>of</em><em> </em><em>trials</em><em>,</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>7</em>
- <em>x</em><em>≥</em><em>3</em><em> </em>
Hence,
P(x ≥ 3) = p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7)
P(x ≥ 3) = 0.0781 + 0.0156 + 0.0019 + 0.0001 + 0.000003
P(x ≥ 3) = 0.095703
Therefore, the probability that more than 3 friends win a prize is 0.0957
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The police report is extremely important in terms of a collision. It's the official account of what happened or, Choice A—it's what matters in court, or for insurance purposes.
Answer:
Authoritative parents are responsive with clear rules and high expectations that support the child and allow them to have their independence. This parenting style leads to higher academic performance and self-esteem, better social skill and a lower chance of mental illness and delinquency.
Authoritarian parents are unresponsive with strict rules and high expectations and expect blind obedience. This parenting style leads to a higher chance of mental illness, delinquency, and drug or alcohol abuse but lower academic performance and self-esteem, with poor social skills.
Permissive parents are responsive with few rules and very indulgent and lenient. This type of parenting style often leads to impulsive behavior, poor social skills, being egocentric, and having problematic relationships.
According to Diana Baumrind the most affective form of parenting is authoritative.
Explanation:
Had this question in AP Psych on edge:)