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3 years ago

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What is the probability that one randomly selected physician is a man or is 35-44 years old

2 answers:

NeTakaya3 years ago

6 0

Answer:

28%

Step-by-step explanation:

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Yuliya22 [10]3 years ago

4 0

Based on this table, the probability that the physician is a man is 78%
Now, if the physician is a man and 35-44 years old, he’s already included in that 78%, so we only need to now consider the possibility that they physician is female and 35-44 years old: 8%.

So the total probability is 78% (male) + 8% (female and 35-44) = 80%

This can also be found by adding up all the individual probabilities in your table:

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Thetime(inhours)requiredtorepairamachineis an exponentially distributed random variable with parameter λ = 1 . What is 2 (a) the

mihalych1998 [28]

Answer:

a) 0.1353

b) 0.3679

Step-by-step explanation:

Let's start by defining the random variable T.

T : ''The time (in hours) required to repair a machine''

T ~ exp (λ)

T ~ exp (1)

The probability density function for the exponential distribution is

(In the equation I replaced λ = L)

$f(x)=Le^{-Lx}$

With L > 0 and x ≥ 0

In this exercise λ = 1 ⇒

$f(x)=e^{-x}$

For a)

$P(T>2)$

$P(T>2)=1-P(T\leq 2)$

$P(T>2)=1-\int\limits^2_0 {e^{-x} } \, dx$

$P(T>2)=1-(-e^{-2}+1)$

$P(T>2)=e^{-2}=0.1353$

For b)

$P(T\geq 10/T>9)$

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur

$P(T\geq 10/T>9)=P(T\geq 1)$

$P(T\geq 1)=1-P(T$

$P(T\geq 1)=1-(-e^{-1}+1)=e^{-1}=0.3679$

4 0

3 years ago

If Gabby wants to buy a t-shirt for $35.99 but she has a discount for 10% off, how much is her final cost?

Leno4ka [110]

Answer:

It's $32.39.

Step-by-step explanation:

35.99 - 35.99*10% =

=35.99 - 35.99*0.1

=35.99 - 3.599

=32.391

32.391 is close to 32.39 so we will round it to that number.

The answer is $32.39.

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There would not be one

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sammy [17]

Answer:

66

Step-by-step explanation:

4.4 x 15 = 66 and 66 x 1 = 66

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3 years ago

84is30% of what number

Keith_Richards [23]

Answer:

280

Step-by-step explanation:

30/100 = 84/x

84 x 100 = 8400

8400/30 = 280

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3 years ago