A PROBABILIDADE E ESTATÍSTICA / ESTATÍSTICA I

Nome: Danielle Crespo Nogueira[pic 1]

Matrícula: 16243010005        Polo: São Pedro da Aldeia

Curso: Licenciatura em Matemática

PROBABILIDADE E ESTATÍSTICA / ESTATÍSTICA I

AVALIAÇÃO À DISTÂNCIA 2 - (AD2)

1º Semestre de 2018

Profa. Keila Mara Cassiano

Envio em PDF até 28 de abril de 2018

1. (4,0 pontos) Das peças vendidas em um estabelecimento comercial, 22% são provenientes do fornecedor A, 37% são provenientes do fornecedor B e as demais são provenientes do fornecedor C. Do histórico de fornecimento de peças ao estabelecimento, sabe-se que o percentual de peças que chegam com atraso de cada fornecedor são de 0,4%, 0,55% e 0,45% respectivamente para os fornecedores A, B e C. Uma peça deste estabelecimento é selecionada aleatoriamente.

(a) (1,0 pt) Qual a probabilidade de ela ter sido entregue pelo fornecedor C ?

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(b) (1,0 pt) Qual a probabilidade de ela ter chegado com atraso?

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(c) (1,0 pt) Sabendo que ela chegou com atraso, qual a probabilidade de ela ter sido entregue pelo fornecedor A ?

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(d) (1,0 pt) Se a peça chegou dentro do prazo estabelecido, qual o fornecedor mais provável de tê-la entregue? (Justifique!)

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2. (3,0 pontos) Considere a seguinte tabela de distribuição de probabilidades:

X	1       2       3       4       5       6       7
p(x)	p       p2    0,1      p    0,03     p2     p2

(a) (1,0 pt) Determine o valor de p ;

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(b) (1,0 pt) Determine P(2 ≤ X < 6) ;

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