According to a recent survey of adults, 38% say the almond is their favorite nut. The adults were also asked where they lived. Of the 19% of those who responded that they live in California, 40% chose the almond as their favorite nut. Is liking almonds independent of residency?

Yes, P(almonds) = P(California|almonds).

Yes, P(almonds) = P(almonds|California).

No, P(almonds) ≠ P(California|almonds).

No, P(almond) ≠ P(almonds|California).

No, P(almond) ≠ P(almonds| Is liking almonds independent of residency.

Given that,

According to a recent survey of adults, 38% say the almond is their favorite nut.

The adults were also asked where they lived.

Of the 19% of those who responded that they live in California, 40% chose the almond as their favorite nut.

We have to determine,

Is liking almonds independent of residency.

According to the question,

38% say the almond is their favorite nut.

The adults were also asked where they lived.

Of the 19% of those who responded that they live in California, 40% chose the almond as their favorite nut.

An independent event and probability, the outcomes in an experiment are termed as events. Ideally, there are multiple events like mutually exclusive events, independent events, dependent events, and more.

Since the probabilities are not equal(probability of liking almonds and probability of liking almonds, given that the person lives in California), we have that liking almond is not independent of residency.

Hence, No, P(almond) ≠ P(almonds| Is liking almonds independent of residency.

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No, P(almond) ≠ P(almonds|California).

Step-by-step explanation:

In this question, we have that:

38% of adults say that almond is their favorite nut.

Of those adults surveyed, 19% live in California, and of those, 40% chose the almond as their favorite nut.

Since the probabilities are not equal(probability of liking almonds and probability of liking almonds, given that the person lives in California), we have that liking almonds is not independent of residency, and the correct option is:

No, P(almond) ≠ P(almonds|California).

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950